How do you solve -2x+y=8 and y=-3x-2?

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Answer 1 · 2015-09-08T13:33:26

The solution for the system of equation is
#color(blue)(x=-2,y=4#

#-2x+y=8#......equation #1#
#y=color(blue)(-3x-2#.....equation #2#

Solving by substitution.
Substituting equation #2# in #1#

#-2x+y=8#

#-2xcolor(blue)(-3x-2=8#

#-5x-2=8#

#-5x=8+2#

#-5x=10#
#color(blue)(x=-2#

Finding #y# by substituting #x# in equation #2#

#y=-3x-2#

#y=-3*(-2)-2#

#y=6-2#

#color(blue)(y=4#