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Math Help - Given x+(1/y)= y + (1/z) = z+ (1/x). Prove x=y=z.

  1. #1
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    Exclamation Given x+(1/y)= y + (1/z) = z+ (1/x). Prove x=y=z.

    This is a simple math problem. I do remember solving these in grade 9. forgot all the formulas so don't even know where to start.

    x+(1/y)= y + (1/z) = z+ (1/x)

    Prove x=y=z

    This is kind of urgent. Millions of thanks in advance
    Last edited by mr fantastic; December 6th 2010 at 05:05 PM. Reason: Re-titled.
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  2. #2
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    First step

    Quote Originally Posted by CrypticVoid View Post
    This is a simple math problem. I do remember solving these in grade 9. forgot all the formulas so don't even know where to start.

    x+(1/y)= y + (1/z) = z+ (1/x)

    Prove x=y=z

    I would start by multiplying through by xyz to remove the fractions.

    This is kind of urgent. Millions of thanks in advance
    I would start by multiplying through by xyz to remove the fractions.
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