Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 enter your answers in the boxes.

x = 6, y = -11

Step-by-step explanation using the substitution:

Solve the following system:

{y = 7 - 3 x

{x = -2 y - 16

Hint: | Perform a substitution.

Substitute y = 7 - 3 x into the second equation:

{y = 7 - 3 x

{x = -2 (7 - 3 x) - 16

Hint: | Expand the right hand side of the equation x = -2 (7 - 3 x) - 16.

-2 (7 - 3 x) - 16 = (6 x - 14) - 16 = 6 x - 30:

{y = 7 - 3 x

{x = 6 x - 30

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

In the second equation, look to solve for x:

{y = 7 - 3 x

{x = 6 x - 30

Hint: | Isolate x to the left hand side.

Subtract 6 x from both sides:

{y = 7 - 3 x

{-5 x = -30

Hint: | Solve for x.

Divide both sides by -5:

{y = 7 - 3 x

{x = 6

Hint: | Perform a back substitution.

Substitute x = 6 into the first equation:

{y = -11

{x = 6

Hint: | Sort results.

Collect results in alphabetical order:

x =6, y = -11  

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