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Math Help - Isolating Variables

  1. #1
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    Isolating Variables

    I am studying for a test and need a variable of a equation isolated to one side.

    The equation is:

    t/360 = s/2pr

    I need the variable r by itself.
    How would I go about doing this?
    Thanks!
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  2. #2
    MHF Contributor
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    Ok there are a few ways you could do this, so I'll just pick one.

    You have \frac{t}{360}=\frac{s}{2pr}

    Let's cancel out the 2pr in the denom. of the RHS by multiplying everything by 2pr.

    Thus 2pr \times \frac{t}{360} = s

    Let's use parentheses though to show the multiplication (just to be more formal)

    (2pr) \left( \frac{t}{360} \right) = s

    Follow?

    Now let's rearrange some terms to get r alone. The above equation is equal to.

    (r) \left( \frac{2pt}{360} \right) = s

    Now this next part might seem tricky to you. We are really one step away from isolating r. We must simply divide by \frac{2pt}{360} and on the LHS we will just have r and on the RHS we'll get the rest of the terms. So...

    Can you simplify the rest?

    r = \frac{s}{\left( \frac{2pt}{360} \right)}
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  3. #3
    Len
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    \dfrac{t}{360} = \dfrac{s}{2pr}

    \dfrac{2tpr}{360} = s

    \dfrac{tpr}{180} = s

    tpr= 180s

    r= \dfrac{180s}{pt}
    Last edited by Len; September 22nd 2008 at 08:02 PM. Reason: Messed up code :P
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