How do you solve the system by graphing #-2x-y=-2#, #4x+y=4#?

1 Answer
Jun 6, 2016

Answer:

The solution for the system of equations is:
#color(green)(x=1#
#color(green)(y=0#

Explanation:

#-2x - y = -2#, multiplying the equation by #2#

#-color(blue)(4x) - 2y = -4#.......equation #(1)#
#color(blue)(4x) + y = 4#....................equation #(2)#

Solving by elimination:
Adding equations #1# and #2# in order to eliminate #color(blue)(4x:#

#-cancelcolor(blue)(4x) - 2y = -4#
#cancelcolor(blue)(4x) + y = 4#

#-y = 0#
#color(green)(y=0#

Finding #x# by substituting the value of #y# into equation #1:#

#-2x - y = -2#

#-2x - color(green)(0) = -2#

#-2x = -2#

#x = (-2)/(-2)#

#color(green)(x=1#