How do you solve the system of equations #-2x + 2y = 6# and #4x - 4y = 16#?

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Answer 1 · 2018-03-29T02:30:57

You can't. They are parallel to each other.

Divide both sides of #4x-4y=16# by two to get

#2x-2y=8#

So now

#-2x+2y=6 => 2y= 2x+6 => y=x+3#

and

# 2x-2y=8 => -2y=-2x+8 => y=x-4#

As both lines have the same slope, they are parallel and will never intersect.