algebra

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5x - 9y = 7,
7y - 3x = -5

solve using any algebraic method

  • algebra -

    7y-3(9y+7)/5 = -5
    y = -1/2
    so, x = 1/2

  • algebra -

    Steve can you explain how you got the answer to this??

  • algebra -

    sure. the first equation

    5x - 9y = 7

    tells us that x = (9y+7)/5

    Just plug that into the 2nd equation, and you get

    7y-3(9y+7)/5 = -5
    fractions are a nuisance, so multiply through by 5:
    35y - 3(9y+7) = -25
    35y - 27y - 21 = -25
    8y = -4
    y = -1/2

    Now plug that value into either equation and solve for x.

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