Check all of the following that are solutions to the system shown below.

y = - x² - x + 2 and x + y = - 2

(2, - 4)

(-2, 4)

(-2, 0)

(0, - 2)

From second equation y = - 2-x

Plug this into the first equation:-

- 2 - x = - x^2 - x + 2

x^2 + x - 2 - 2 - x = 0

x^2 - 4 = 0

x^2 = 4

x + + / - 2

Plug these values into x + y = - 2 : -

x = 2:-

2 + y = - 2

so y = - 4

so one solution is (2,-4)

Now try x = - 2

- 2 + y = - 2

y = 0

so the second solution is (-2, 0)

So A and C are correct