How do you solve the following system?: # -x+5y=7 , x=-3x + 4y-17 #

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Answer 1 · 2016-01-01T12:37:47

#x=-9.5, y=-0.5 #

#-x+5y=7#

#x=5y-7# ---#(1)#

#x=-3x+4y-17#

#2x-4y=-17# ---#(2)#

Subsitute #(1)# into #(2):#

#2(5y-7)-4y=-17#

#10y-14-4y=-17#

#6y=14-17#

#6y=-3#

#y=-0.5#

Subsitute #y=-0.5# into #(1)#:

#x=5(-0.5)-7#

#x=-2.5-7#

#x=-9.5#

##x=-9.5, y=-0.5