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27 May, 02:04

What are the solutions to the following system y = - x2 + 2x - 9 y = - 6x + 6

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  1. 27 May, 04:52
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    Y = - x^2 + 2x - 9

    y = - 6x + 6

    -6x + 6 = - x^2 + 2x - 9

    x^2 - 2x + 9 - 6x + 6 = 0

    x^2 - 8x + 15 = 0

    (x - 5) (x - 3) = 0

    x - 5 = 0 y = - 6x + 6

    x = 5 y = - 6 (5) + 6

    y = - 30 + 6

    y = - 24

    x - 3 = 0 y = - 6x + 6

    x = 3 y = - 6 (3) + 6

    y = - 18 + 6

    y = - 12

    solutions are : (5,-24), (3,-12)
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