Question

Graph this equation on the graph then, use the check step to prove the solution works in both equations. show all work

y = -x + 4y = -4
y = 1/2x - 2

check:

Answer 1

see attached for a graph; see below for the check

Explanation:

You want to solve this system of equations by graphing, then check the result.

Graph

The graph of the equations is attached. The fist has a slope of 1/4 and a y-intercept of -1; the second has a slope of 1/2 and a y-intercept of -2.

The solution is seen to be (x, y) = (4, 0).

Check

In the first equation:

-4 +4(0) = -4 . . . . . true

In the second equation:

0 = 1/2(4) -2 . . . . . true