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Solve the system of equations using the substitution method.

{y=−3x+7
x=−2y−16



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x =

y =

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chrysanthemum
y = -3x + 7
x = -2y - 16

Substitute the top expression for y in the bottom equation:

x = -2y - 16
x = -2(-3x + 7) - 16
x = 6x - 14 - 16
x = 6x - 30
-5x = -30
x = 6

Substitute back into one of the original equations:

y = -3x + 7
y = -3(6) + 7
y = -18 + 7
y = -11

Lastly, substitute back into both original equations:

y = -3x + 7  =>  -11 = -3(6) + 7  =>  -11 = -18 + 7  <--True
x = -2y - 16  =>  6 = -2(-11) - 16  =>  6 = 22 - 16  <--True

Answer:
x = 6
y = -11