How do you solve the system using the elimination method for -4x – 2y = -12 and 4x + 8y = -24?

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Answer 1 · 2018-07-03T14:01:10

#x=6,y=-6#

Form simplifications we divide the first equation by #2# and the second one by #4#
we get

#-2x-y=-6#
#x+2y=-6#
solving the first equation for #y#

#y=-2x+6#

plugging this equation in the second one

#x+2(-2x+6)=-6#

expanding

#x-4x+12=-6#

so #-3x=-18#

#x=6#

and for #y# we get

#y=-2*6+6=-12+6=-6#