What are the ordered pairs of the solutions for this system of equations? y = -x2 + 2 y = x​

The solutions of this system of equations are (-2, -2) and (1, 1).

Step-by-step explanation:

Let be the following system of equations:

(1)

(2)

(2) in (1):

This polynomial can be solved analytically by Quadratic Formula:

,

Hence, the solutions of this system of equations are (-2, -2) and (1, 1).