What are the solutions to the system
y=x^2-6x+7
y=-x+13

The solutions are (-1, 14) and (6, 7)  

Step-by-step explanation:

Given two equations

we have to solve the above two equations

Substitute the value of y from (2) equation to (1), we get

By middle term splitting method

(2) ⇒  y=-x+13

when x=-1, y=-(-1)+13=1+13=14

when x=6, y=-6+13=7

Hence, the solutions are (-1, 14) and (6, 7)