How do you solve the following system?: # -x+4y=8 , x-5y=4 #

1 Answer
Dec 22, 2015

Answer:

The solution for the system of equations is

#color(blue)(x=-56, y=-12#

Explanation:

#color(blue)(-x) +4y=8#.......equation #(1)#

#color(blue)(x) -5y=4#............equation #(2)#

Solving by elimination:

Adding the two equations would result in an elimination of #x#:

#cancelcolor(blue)(-x) +4y=8#

#cancelcolor(blue)(x) -5y=4#

#-y=12#

#color(blue)(y=-12#

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

#-x +4y=8#

# 4y-8=x#

# -48-8=x#

# -56=x#

#color(blue)(x=-56#