Solve the system of linear equations by substitution.

-x-8=-y

9y-12+3x=0

The solution is (,)

The solution (x, y) = (-5, 3)

Step-by-step explanation:

-x - 8 = - y ... (1)

9y - 12 + 3x = 0 ... (2)

from equation (1)

-x = - y + 8 ... (3)

multiply equation (3) by - 1

x = y - 8 ... (4)

substituting equation (4) in equation (2)

9y - 12 + 3 (y - 8) = 0

9y - 12 + 3y - 24 = 0

12y - 36 = 0

12y = 36

y = 36 / 12

y = 3

Substitute y = 3 in equation (4)

x = y - 8

x = 3 - 8

x = - 5

-X-8+8=-y+8

-x = - 8y

X=8y