Y=-4x+4

y=x-6

Solve each system by substitution.

The solution should be an ordered pair

X=y+6 add 6 to the other side

y=-4 (y+6) + 4 substitute x with y+6

y=-4y-24+4 Simplify

5y=-20 add 4y to both sides and add like pairs

y=-20/5=-4 y=-4

-4=x-6 substitute y with - 4 in second equation to find x

2=x add 6 to both sides

(2,-4)

Steps:

1. Substitute the y in y=4x + 4 and put

X-6=-4x+4

2. Add 4x to both sides

3. 5x-6=4

4. Add 6 to both sides

5. 5x=10

6. Divide by 5 on both sides

7. X=2

8. Now to find the y, you substitute 2 for x in the problem y=x-6

9. Y=2-6

10. Y=-4

11. Your answer is

(2, - 4)