what is the solution to the system of equations graphed below y=-4x+2 y=x-3

Answer 1

y=-4x +2

y = x -3

-y = -x +3

add the 1st and 3rd equations to eliminate one variable

0 =-5x +5

5x =5

x = 5/5 = 1

y =x-3 = 1-3 = -2

x=1, y = -2 is the solution.

if you graphed the two equations, the lines would intersect at (1,-2)