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Math Help - rearrange the following equation to find x in terms of y and t, in simplest form.

  1. #1
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    rearrange the following equation to find x in terms of y and t, in simplest form.

    ( assume that 3y - t # 0.)

    t(t-x) = 3y(3y-x)
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  2. #2
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    Quote Originally Posted by toplad View Post
    ( assume that 3y - t # 0.)

    t(t-x) = 3y(3y-x)
    In cases like this, where you want to express a variable, or a group of variables, in terms of the other variables, you just isolate the said variable, or the said group of variables.

    For your problem here, just isolate the x.

    t(t -x) = 3y(3y -x)
    t^2 -tx = 9y^2 -3xy
    Collect the x's in one side of the equation,
    -tx +3xy = 9y^2 -t^2
    x(-t +3y) = (3y -t)(3y +t)
    x = 3y +t -----------------answer.
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