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

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Answer 1 · 2018-04-10T15:08:38

#x=12#
#y=-6#

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#