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)

Question

Crystal

Mathematics

10 November, 14:47

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)

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Amos · Answer 1

Y = - x^2 + x + 2

y = - x + 3

-x + 3 = - x^2 + x + 2

x^2 - x - 2 - x + 3 = 0

x^2 - 2x + 1 = 0

(x - 1) (x - 1) = 0

x - 1 = 0 y = - x + 3

x = 1 y = - 1 + 3

y = 2

solutions are : (1,2), (1,2)