Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

The solutions are the points where the two graphs intersect, so set their y-values equal: x² − x + 1 = x. Rearranging gives x² − 2x + 1 = 0, or (x − 1)² = 0, so x = 1 and then y = 1. The graphs meet only at (1, 1), which is choice A.

AI-written and checked against the verified answer.