How do you solve the system of equations -2x - 2y = - 12 and 2x + 8y = - 24?

1 Answer
Apr 10, 2018

x=12
y=-6

Explanation:

Add the equations together

-2x-2y=-12
2x+8y=-24

-2x+2x-2y+8y= -12+(-24)

Simplify

6y = -36

Divide each side by 6

y=-6

Now plug y=-6 into one of the original equations

-2x-2y=-12
-2x-2(-6)=-12
-2x+12=-12

Subtract 12 from both sides

-2x=-24

Divide both sides by -2

x=12

Answers

x=12
y=-6