The easiest way to solve this question is to use substitution. Since you can replace y for 7x-2 in the other equation.

You should have

.

Distribute the 2 to the parentheses.

Add 4 to both sides of the equation.

Subtract 6x from both sides.

Divide by 8 to get x.

Put 1 back in to either equation for x to solve for y.

To solve this system of equations, multiply the first equation by .

Now add the two equations together to remove the terms.

+

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Divide both sides by .

Plug the value of the variable, which is into one of the equations.

Subtract from both sides of the equation.

Divide both sides by

is the correct answer for this system of equations.

To solve this system of equations, subtract the second equation from the first.

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Now, substitute in the value for x into one of the equations to solve for the value of .

Now subtract five from each side.

Divide both sides by negative 2:

is the correct answer.

To solve this system of equations, add. This will eliminate or remove the terms.

+

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Divide both sides by

To get the value of replace the variable with the value of that variable in one of the equations.

Subtract from both sides of the equation.

Divide both sides of the equation by

is the correct answer.

To answer this question you must first solve for one of the variables. This can be done with either variable with either equation. In this example of how to solve the problem we will solve for y using the second equation

subtract 8x from both sides

divide both sides by y

Now we plug this into the first equation for the y variable

Distribute the 3

Simplify

subtract 9 from both sides

divide by -2 on both sides

Using this we solve for y in the second equation

simplify

add 8 to both sides

divide by 4 on both sides

Final answer and

Set both equations equal to each other and solve.

Add to both sides of the equation.

Add to both sides of the equation.

Divide both sides by 8.

Plug the value of the variable into one of the equations to get the value of

is the correct answer for this system of equations.

To solve this system of equations, you are given the value of .

The second equation is

So you put the value of into the second equation.

Combine like terms.

Add to both sides of the equation.

Divide both sides by .

Substitute the value of x in one of the equations to get the value of y.

is the correct answer.

To cancel out the terms, multiply by

Then add:

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Plug the value of which is into one of the equations to get the value of .

is the correct answer.

In order to eliminate the terms, first multiply the first equation by

Then multiply the second equation by

This will now eliminate the terms when added together.

+

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Divide both sides by

Now substitute the value of which is to get the value of in one of the the two original equations.

Add to both sides of the equation.

Divide both sides by

is the correct answer.

Using the substitution method, set both systems of equations equal to each other.

Isolate the variable by adding to both sides of the equation.

Add to both sides.

Divide both sides by 3.

To get the value of y, substitute the value of x in one of the equations.

is the correct answer.