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Math Help - Tranpose Formule

  1. #1
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    Tranpose Formule

    Greetings,

    I have been banging my head against a wall trying to understand how-to make 'x' the subject of the following equation:

    y = (w + x) / (x - 2)

    I can't figure out how to make it appear as it does on the mock exam.

    So far, I have the following steps:

    y(x - 2) = w + x

    xy - 2y = w + x

    xy - x = w + 2y

    And it's here where I get stuck. I just can't get my head around getting 'x' on its own.

    Can someone please assist me?

    Regards,

    Mike.
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  2. #2
    MHF Contributor Unknown008's Avatar
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    You got it right so far and got through all what is difficult. You only need to factorise the x.

    You know that:

    2+2x = 2(1+x)

    Right? Well, do the same with x in your question, I'm sure you'll get it easily
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  3. #3
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    Is it:

    x(y - 1) = w + 2y?
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  4. #4
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    Quote Originally Posted by mcrilly View Post
    Is it:

    x(y - 1) = w + 2y?
    You're almost there. You can divide the (y-1)
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  5. #5
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    Quote Originally Posted by Esthephane View Post
    You're almost there. You can divide the (y-1)
    x = (w + 2y) / (y - 1)

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  6. #6
    MHF Contributor Unknown008's Avatar
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    Yup, that's it
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