solve (2x-10)=(65-x) show your work plz!

Answer: A: -35x-10y=35

B: multiply equation 2 by 2

C: add equation 1 and equation 2

D: x=-3

E: (-3,7)

Step-by-step explanation:

See the image................

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

The correct roots of the equation are (a) 9 and 1

From the complete question, their mistakes are:

Anu

Aji

A quadratic equation is represented as:

\(ax^2 + bx + c = 0\)

Where:

\(\alpha\beta = \frac ca\) --- product of roots

\(\alpha + \beta = -\frac ba\) --- sum of roots

Anu made a mistake in the constant term, so we consider the sum of roots

\(Sum = 8 + 2\)

\(Sum = 10\)

Aji made a mistake in the coefficient, so we consider the product of roots

\(Product = -9 \times -1\)

\(Product = 9\)

The possible equations from the above sum and products are:

Of all the above equations, the most likely equation is \(x^2 - 10x + 9 =0\), and it has a root of 9 and 1

Hence, the correct roots are (a) 9 and 1

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В саду росте 500 дерев, з яких 24% є яблуні, що дає 120 яблунь. Груші становлять 115% кількості яблунь, тобто 135 груш. Вишні становлять 5/6 кількості груш, тобто 112,5 вишні. Решта дерев - сливи становлять 500 - 120 - 135 - 112.5 = 142.5 сливових дерев.

\(\it \dfrac{24}{100}\cdot500=24\cdot5=120\ apples\ trees\\ \\ \\ \dfrac{115}{100}\cdot120=\dfrac{115\cdot12}{10}=\dfrac{1380}{10}=138\ \ pears\ trees\\ \\ \\ \dfrac{5}{6}\cdot138=\dfrac{5\cdot138}{5}=\dfrac{690}{6}=115\ cherries\ trees\\ \\ \\ 500-(120+138+115)=500-373=127\ plums\ trees\)

Answer:

x = 20.5

Step-by-step explanation:

Since you are given the hypotenuse and the adjacent side to 70 then you have the cos 70 = adj/hyp so cos 70 = 7/x so x = 7/cos 70, so x = 20.467

Answer: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The red graph intersects the y-axis at (0, 1).  This is the "y-intercept."

Answer:

B.

The equation you can use to find the area of a sphere when given radius is:

V = 4/3πr 3

Fitting 5 into the equation:

V = 4/3π5 3

V = 523.598776

Therefore, B is the correct answer.

Answer:

1.8333

Step-by-step explanation:

The activation energy of the reaction is approximately 126.8 kJ/mol. The calculation was done using the Arrhenius equation and the natural logarithm of the rate constants at the two temperatures.

To calculate the activation energy of a reaction, we can use the Arrhenius equation:

k = A * e⁽⁻ᴱᵃ/ᴿᵀ⁾

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.

We have two rate constants at different temperatures, so we can set up two equations:

k₁ = A * e⁽⁻ᴱᵃ/ᴿᵀ₁⁾

k₂ = A * e⁽⁻ᴱᵃ/ᴿᵀ₂⁾

We want to solve for Ea, so we can take the natural logarithm of both sides of each equation:

ln(k₁) = ln(A) - Ea/RT₁

ln(k₂) = ln(A) - Ea/RT₂

We can subtract the second equation from the first to eliminate ln(A):

ln(k₁) - ln(k₂) = Ea/R * (1/T₂ - 1/T₁)

Now we can solve for Ea:

Ea = -R * (ln(k₁) - ln(k₂)) / (1/T₂ - 1/T₁)

Plugging in the given values, we get:

Ea = -8.314 J/mol/K * (ln(6.20 x 10⁻⁴) - ln(2.39 x 10⁻²)) / (1/760 K - 1/700 K)

Ea ≈ 126.8 kJ/mol

Therefore, the activation energy of the reaction is approximately 126.8 kJ/mol.

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Answer:

\(\displaystyle{y=-3x-1}\)

Step-by-step explanation:

I have two methods: standard-learning which will explain overall mathematically - basically formula, etc. - while the other one trick-tips method will rely on choices rather mathematical calculations but with explanation on why and how.

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for slope calculation. This part is crucial for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

\(\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}\)

Note that \(\displaystyle{\Delta}\) is delta - in both mathematic and physics, it means changes in.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that \(\displaystyle{(x_2,y_2)=(-1,2)}\) and \(\displaystyle{(x_1,y_1)=(0,-1)}\).

Therefore, our slope will be:

\(\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}\)

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

\(\displaystyle{y=mx+b}\)

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

\(\displaystyle{y=-3x-1}\)

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

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Answer: M=3

Step-by-step explanation: because for every 3 pencils there is 1 student.

Answer:

18%

Step-by-step explanation:

Solve by making 180/220 into a percentage:

First, simplify the fraction by both parts by 20. This will result in the fraction 9/11.

To make it a percentage, write it as a ratio:

9/11 = x/100

Multiply both sides by 100 and 11:

11x = 900

Divide both sides by 11:

x = 81.818181...

Subtract from 100 to find the error:

18.181818...

So about 18%

Hope that helps! :D

Answer: 18%

Step-by-step explanation: Trust me.

Step-by-step explanation: 5

The sail of a boat is in the shape of a right triangle. The given expression that shows the height, in meters, of the sail is:`h = 2b/3`Here is the explanation below

`a` is the height of the sail`b` is the base of the sail`c` is the hypotenuse of the sail`b` is 3 meters We need to find the value of `a` or the height of the sail. The Pythagorean Theorem gives us:`a² + 3² = c²`Simplifying:`a² + 9 = c²`To find the height `a`, we can use the fact that the height of the sail is `2/3` of the hypotenuse `c`:`a = (2/3) c` Substituting this into the equation above:`(2/3) c² + 9 = c²`Multiplying both sides by `3`:`2c² + 27 = 3c²`

We can simplify this by factoring out the largest perfect square:`c = sqrt(9 × 3)`Using the product rule of radicals: c = sqrt(9) × sqrt(3)` Simplifying:

c = 3 × sqrt(3)` Now, we can substitute this into the equation for

`a`:`a = (2/3) c``

a = (2/3)(3 × sqrt(3))``

a = 2 × sqrt(3)` Therefore, the expression that shows the height, in meters, of the sail is `h = 2b/3` which can also be written as `h = 2 × 3/3 = 2` meters.

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The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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Answer:

Answer: m<RUT=80

Step-by-step explanation:

took the test

If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.

The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.

According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.

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Answer:

Quadratic

Step-by-step explanation:

I have no idea how to explain it except that it follows the standard               ax² + bx + c format

Quadratic is the answer to your question! :)

The following statements "In any comparison, the two values compared can be either variables or constants" is True.

In any comparison, the two values compared can be either variables or constants. Variables are values that can change, while constants are fixed values. Comparisons can involve any combination of these (e.g., variable-variable, variable-constant, or constant-constant).

In computer programming, variables and constants are two fundamental concepts used to store and manipulate data.

A variable is a named storage location in computer memory that holds a value of a certain data type, such as a number, a string of characters, or a Boolean value (true/false). The value stored in a variable can change during program execution, hence the name "variable". Variables are typically used to store data that may change frequently, such as user input, intermediate results of calculations, or data read from a file.

For example, in a program that calculates the area of a circle, the radius of the circle would be stored in a variable. If the user changes the value of the radius, the value stored in the variable would also change accordingly.

A constant, on the other hand, is a value that remains the same throughout the program execution. It is also a named storage location in memory, but unlike a variable, the value stored in a constant cannot be changed after it has been defined. Constants are typically used to store data that does not change, such as mathematical constants (e.g., pi), physical constants, or configuration settings.

For example, in the same program that calculates the area of a circle, the value of pi would be stored in a constant. The value of pi would not change during program execution, and hence it would be defined as a constant.

In summary, variables and constants are two important concepts in programming used to store and manipulate data. Variables are used to store data that may change during program execution, while constants are used to store data that remains constant throughout the program.

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Answer:

\(g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 \)

\(h(h(x)) = x\)

Step-by-step explanation:

\(g(x) = {x}^{2} + 7\)

\(g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 \)

\(g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 \)

\(h(x) = \frac{5}{9x} \)

\(h(h(x)) = h( \frac{5}{9x} )\)

\(h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x \)

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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A)  The 95% confidence interval is:

     0.58 ± 0.062

B) At the 0.01 probability value, there is neither substantial evidence of a home-field  advantage in professional football (they won and over half of the games).

Now, According to the question:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × \(\frac{\sqrt{pq} }{n}\)

Where:

z = The z score corresponds to the amount of confidence.

p = sample proportion.

q = probability of failure

q = 1 - p

p = x/n

Where

n = the number of samples

x = the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score,  The confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Thus,

1 - 0.025 = 0.975

The z -score associated with the area just on z table approximately 1.96. Therefore, the z score with a 95% confidence level is 1.96.

As a result, the 95% confidence interval becomes

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) Earning more than half of the games equates to winning 120 games or more.

p = 120/240 = 0.5

The hypothesis test will be

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We need to find the values of  the test statistic which will be the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Remember that this is a two-tailed test. We would use the normal distribution table to calculate the probability potential of the property to the right of both the z score.

P value will be = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

The given question is incomplete, The complete question is this:

__"During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct a 95% confidence interval for the winning proportion of the home team during this season. b) At the 0.01 significance level, is there strong evidence of a home field advantage (they win more than half of the games) in professional football? State hypotheses, calculate the test statistic and p-value, and make a conclusion in context"__

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Option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2. This can be obtained by using Quotient of Power Property.

Here in this question it is given that,

⇒ (3^-6)/(3^-4)

By using the Quotient of Power Property, we can find the simplified value of the expression.

Since the bases are equal we can subtract the exponents of the numbers.

Here the common base is 3 and -6 and -4 are the exponents of the numbers.

Now by subtracting the exponents we get,

⇒ (3^-6)/(3^-4)

= 3^ [-6 - (-4)]

= 3 ^ [-6 + 4]

= 3 ^ -2

Hence option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Describe how to simplify the expression (3^-6)/(3^-4).

Option 1: Divide the bases and then add the exponents.

Option 2: Keep the base the same and then add the exponents.

Option 3: Multiply the bases and then subtract the exponents.

Option 4: Keep the base the same and then subtract the exponents.

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Step-by-step explanation:

The volume of the stone = 8 × 5 × 2 = 80

Using density = mass / volume

So 2.5 = mass / 80

2.5 × 80 = mass

200 = mass

please give me brainliest answer  

volume:

(8cm×5cm×2cm)=80cm³

I don't know the mass , sorry

If the constraint Q1 + Q2 ≥ 30 is relaxed by one unit, the total cost will increase by λ = 4.

The given objective function is TC=4Q1²+5Q2²−Q1Q2, which we need to minimize subject to the constraint Q1+Q2≥30 using the Lagrangian method. Let's begin the Lagrangian method solution as follows;

L(Q1,Q2,λ)= TC + λ(30 - Q1 - Q2)

Where λ is the Lagrange multiplier

1: Calculate the partial derivatives of L with respect to Q1, Q2, and λ and set them equal to zero

∂L/∂Q1 = 8Q1 - Q2 - λ = 0 .......(1)

∂L/∂Q2 = 10Q2 - Q1 - λ = 0 .......(2)

∂L/∂λ = 30 - Q1 - Q2 = 0 .......(3)

2: Solve the above three equations for Q1, Q2, and λ using the elimination method. Eliminate λ by adding equations (1) and (2). Then substitute this λ value in the third equation. Simplify the equation and solve for Q1 and Q2.

Q1 = 6 and Q2 = 24

λ = 4

The optimal values of Q1 and Q2 are 6 and 24 respectively. The value of lambda is 4.

The value of λ represents the marginal cost of relaxing the constraint by one unit. Intuitively, lambda represents the shadow price of the constraint, i.e., the amount by which the objective function value will increase if the constraint is relaxed by one unit.

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Answer:

275, 300, 450, 490, 675

Median: 450

Q1: 287

Step-by-step explanation:

Given the information provided, we know that the average (mean) length of time people keep their cars before replacing is 9 years, and the standard deviation is 2 years.

We are asked to analyze a randomly selected person in this context.

To determine the probability or characteristics related to this randomly selected person, we need more specific information or a question to address.
Without additional details or a specific inquiry, we cannot provide a meaningful answer or analysis.

However, based on the average and standard deviation provided, we can make general statements about the distribution of car ownership duration within the population.

The average of 9 years suggests that, on average, people tend to keep their cars for around 9 years before replacing them.
The standard deviation of 2 years indicates that there is some variability in car ownership duration, with some individuals keeping their cars for longer or shorter periods.

If you have a specific question or scenario related to the randomly selected person, please provide more details, and I'll be happy to assist you further.
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Answer: 4

Step-by-step explanation:

1. We want to have x by itself, so we can isolate it by moving -9 to the other side of the equation.

2. This leaves us with 2x=-1+9

3. This equals 2x=8

4. Now we want to completely leave x by itself, so since we know that it is being multiplied by 2, we have to move it to the other side.

5. This leaves us with x=8/2

6. Finally, 8/2=4.

7. x=4.

Answer:

x = 4

Step-by-step explanation:

So, the basic way that we solve a one variable equation is isolating the x variable on one side. We can see that we have a -9 on the left side, and a -1 on the right. Let's simplify this to isolate the x variable:

First, add 9 to both sides:

\(2x-9=-1\\+9.........+9\)

2x=8

Now, we can divide both sides by 2:

x = 4

Remember when doing these solving for x problems:

Whatever you do to one side, you have to do to the other