How do you solve the system of equations that go through #-8x + 12y = - 6# and #4x - 6y = 8#?

1 Answer
Alan P.
Sep 5, 2017

The given equations have no solution(s).

Explanation:

#color(blue)(8x+12y=-6)# could be written (after dividing by -2) as #color(blue)(4x-6y=3)#
but we are also told that
#color(green)(4x-6y=8)#
#(4x-6y)# cannot be equal to both #3# and #8#
so there can be no solution.

Graphically, the given equations represent a pair of parallel lines (which do not intersect).

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