How do you solve the following system?: # x - y = -6, 3x+2y=12 #

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Answer 1 · 2015-12-25T10:43:31

The solution for the system of equations is
#color(blue)(x=0,y=6#

#x-y=-6#, multiplying this equation by #3#
#color(blue)(3x)-3y=-18#.......equation #(1)#

#color(blue)(3x) +2y=12#..............equation #(2)#

Solving by elimination.

Subtracting equation #2# from #1#:

#cancelcolor(blue)(3x)-3y=-18#
#cancel(-color(blue)(3x)) -2y=-12#

#-5y=-30#

#y=30/5#

#color(blue)(y=6#

Finding #x# by substituting #y# in equation #1#

#x-y=-6#

#x=-6 +y#

#x=-6 +6#

#color(blue)(x=0#