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29 September, 06:56

What is one of the solutions to the following system of equations? y2 + x2 = 53 and y - x = 5

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  1. 29 September, 09:45
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    Y2 + x2 = 53

    y - x = 5

    y = 5 + x

    (5+x) ^2 + x^2 = 53

    (5+x) (5+x) + x^2 = 53

    25 + 10x + x^2 + x^2 = 53

    2x^2 + 10x - 28 = 0

    (x-2) (x+7) = 0

    x = 2, x = - 7

    y = 5 + 2

    y = 7

    y = 5 + (-7)

    y = 5 - 7

    y = - 2
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