y - 9 = x
Add both sides by 9
y = x+9
Substitute y = x+9 into the other equation
y = x^2 + 2x + 9
x+9 = x^2 + 2x + 9
Subtract both sides by 9
x = x^2 + 2x
Subtract both sides by x
0 = x^2 + 2x
If you graph this, the solutions are
x = -1
and
x = 0
Plug these values into y = x+9 and you get
y = -8
and
y = 9
Your solutions are (-1, -8) and (0, 9)
Those should be your answers. Have an awesome day! :D
From your friendly Helper-in-Training, Collinjun0827