Step 1) Solve the second equation for xx:
-4y = x + 16−4y=x+16
-4y - color(red)(16) = x + 16 - color(red)(16)−4y−16=x+16−16
-4y - 16 = x + 0−4y−16=x+0
-4y - 16 = x−4y−16=x
x = -4y - 16x=−4y−16
Step 2) Substitute (-4y - 16)(−4y−16) for xx in the first equation and solve for yy:
3x - 4/3y = -83x−43y=−8 becomes:
3(-4y - 16) - 4/3y = -83(−4y−16)−43y=−8
(3 * -4y) - (3 * 16) - 4/3y = -8(3⋅−4y)−(3⋅16)−43y=−8
-12y - 48 - 4/3y = -8−12y−48−43y=−8
-12y - 4/3y - 48 = -8−12y−43y−48=−8
(3/3 * -12)y - 4/3y - 48 = -8(33⋅−12)y−43y−48=−8
-36/3y - 4/3y - 48 = -8−363y−43y−48=−8
-40/3y - 48 = -8−403y−48=−8
-40/3y - 48 + color(red)(48) = -8 + color(red)(48)−403y−48+48=−8+48
-40/3y - 0 = 40−403y−0=40
-40/3y = 40−403y=40
-color(red)(3)/color(blue)(40) * -(40)/3y = -color(red)(3)/color(blue)(40) * 40−340⋅−403y=−340⋅40
-cancel(color(red)(3))/cancel(color(blue)(40)) * -color(blue)(cancel(color(black)(40)))/color(red)(cancel(color(black)(3)))y = -color(red)(3)/cancel(color(blue)(40)) * color(blue)(cancel(color(black)(40)))
- -y = -3
y = -3
Step 3) Substitute -3 for y in the solution to the second equation at the end of Step 1 and calculate x:
x = -4y - 16 becomes:
x = (-4 * -3) - 16
x = 12 - 16
x = -4
The Solution Is: x = -4 and y = -3 or (-4, -3)
