Question

Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?



(1, 2)
(1, 2) and (0, 3)
(–1, 0) and (2, 0)
(2, 1)

Answer 1

When you graph it,
https://www.desmos.com/calculator/ncca6iie78

At what point do the graphs intersect?
The blue line intersects the red curve only once

That point is the solution to the system of equations (aka your final answer)