y=-3/4x+2 4y-3x=20

Question

find system of equations

Answer 1

4y - 3x = 20, y = -3x/4 + 2

4(-3x/4 + 2) - 3x = 20

-3x +8 -3x = 20

-6x = 12

x= -2

y = -3(-2)/4 + 2 = 6/4 +2 = 3/2 +2 = 7/2 = 3.5

solution (x,y) = (-2, 3.5)

OR graph the two equations and find where they intersect.

even a rough sketch may help.

4y -3x = 20

solution is (x,y) = (-2, 3.5)

y = -3x/4 + 2 is a line with slope = -3/4 and y intercept = 2. It's downward sloping

4y - 3x = 20 has slope = 3/4 and y intercept = 5 It's upward sloping

they intersect at (-2, 3.5) in Quadrant II