How do you solve the following system?: #-2x+y=1, -x+y=-3 #

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Answer 1 · 2015-12-23T17:01:40

The solution for the system of equations is
#color(blue)(x=-4,y=-7#

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

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

Solving by elimination

Subtracting equation #2# from #1#

#-2x+cancelcolor(blue)(y)=1#

#+x-cancelcolor(blue)(y)=+3#

#-x=4#

#color(blue)(x=-4#

Finding #y# by substituting #x# in equation #1#:
#-2x+y=1#

#-2 xx (-4)+y=1#

#8+y=1#

#y=1-8#

#color(blue)(y=-7#