Which represents the solution(s) of the graphed system of equations, y is equal to negative x squared plus x plus 2 and y is equal to negative x plus 3 ? Open image in full-screen view

Set the equations equal to find where their graphs intersect: −x² + x + 2 = −x + 3. Rearranging gives −(x − 1)² = 0, so x = 1; substituting into y = −x + 3 gives y = 2. The only solution is (1, 2), represented by choice B.

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