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

1 Answer
Jun 6, 2016

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