what are the solutions to the system?

y=x^2 - 6x+7

y=-x+13

6 answers

equate y and you have

x^2-6x+7 = -x+13
x^2-5x-6 = 0

and I think you can take it from there, yeah?
I'm still pretty lost.. :/
ok, the next step is

(x-6)(x+1) = 0
x = 6 or -1

Now just find y for each of those x values.
Would it be: (-1, 14) and (6,7)?
That would be correct.
thx guys