Solve the system of equations.

{y=x-6

{3x+2y=8

Use the substitution method.

(14, 8)

(4, - 2)

(0, - 6)

(3, - 3)

Solution:

1) Substitute y=x-6 into 3x+2y=8

5x-12=8

2) Solve for x in 5x-12=8

x=4

3) Substitute x=4 into y=x-6

y=-2

4) Therefore,

x=4

y=-2

Done!

Use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 Substitute x + 5 for y in the second equation. Substitute the solution for x into either equation to find y. The solution is (5, 10).