Which represents the solution(s) of the system of equations, y is equal to x squared minus x plus 1 and y is equal to x ? Determine the solution set by graphing.

The solutions are the points where the graphs have the same y-value, so set x² − x + 1 equal to x. This gives x² − 2x + 1 = 0, or (x − 1)² = 0, so x = 1 and y = 1. The graphs meet at the single point (1, 1), represented by choice A.

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