Graph the system of equations on your graph paper to answer the question. {y=−x+4y=x−2 what is the solution for the system of equations? enter your answer in the boxes.

x = 3 ,  y = 1   (see attachment)

Step-by-step explanation:

Solve the following system:

{y = 4 - x

{y = x - 2

Hint: | Perform a substitution.

Substitute y = 4 - x into the second equation:

{y = 4 - x

{4 - x = x - 2

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = 4 - x

{4 - x = x - 2

Hint: | Isolate x to the left hand side.

Subtract x + 4 from both sides:

{y = 4 - x

{-2 x = -6

Hint: | Solve for x.

Divide both sides by -2:

{y = 4 - x

{x = 3

Hint: | Perform a back substitution.

Substitute x = 3 into the first equation:

{y = 1

{x = 3

Hint: | Sort results.

Collect results in alphabetical order:

{x = 3 ,  y = 1

757764

step-by-step explanation:

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