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Viraldude

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  • Viraldude

    Gahh

    April 8, 2014 by Viraldude

    How do you solve this question without using substitution?

    Determine all ordered triples of integers (xyz) which satisfy the system

    (xy) (xyz) = 189

    (y + z) (x + y + z) = 147

    (z + x) (x + y + z) = 546


    -_-

    And if you're wondering, the solutions are (xyz) = (14, -5, 12) and (xyz) = (-14, 5, -12)

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