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Thread: How to rearrange x = (y-z)/z

  1. #1
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    Question How to rearrange x = (y-z)/z

    When we have $x = (y-z)/z$, how can we wrote $z$ as a function of $x$ and $y$?

    $z = ?$
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  2. #2
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    Re: How to rearrange x = (y-z)/z

    Quote Originally Posted by brianx View Post
    When we have $x = (y-z)/z$, how can we wrote $z$ as a function of $x$ and $y$?
    $z = ?$
    $ \begin{align*}x&=\dfrac{y-z}{z} \\xz&=y-z\\xz+z&=y\\(x+1)z&=y\\z&=? \end{align*}$
    Thanks from HallsofIvy and brianx
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  3. #3
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    Re: How to rearrange x = (y-z)/z

    zx = y - z
    zx + z = y
    z(x+1) = y
    z = y / (x+1)
    Thanks from brianx
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