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Thread: Fractional Equations

  1. #1
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    Fractional Equations

    x is $\displaystyle \frac{3}{13}$
    Im not sure where i went wrong
    $\displaystyle \frac{15x}{4}$= $\displaystyle \frac{9}{4}$ - $\displaystyle \frac{3-x}{2}$
    LCD first so...
    $\displaystyle \frac{15x}{4}$= $\displaystyle \frac{9}{4}$ - $\displaystyle \frac{6-2x}{4}$
    solve...
    15x=9-6-2x
    15x=3-2x
    17x=3
    x=$\displaystyle \frac{3}{17}$

    on a side note, how would i solve
    $\displaystyle 15(\frac{3x}{5}$ - $\displaystyle \frac{x}{3})$
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  2. #2
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    e^(i*pi)'s Avatar
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    The error is in this line:: $\displaystyle 15x=9-6-2x$

    Instead you have $\displaystyle 15x = 9-(6-2x)$ which means the 2x is added: $\displaystyle 15x = 3+2x$

    and continue from there
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  3. #3
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    oh alright that makes much more sense, thank you
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  4. #4
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    e^(i*pi)'s Avatar
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    For $\displaystyle 15 \left(\dfrac{3x}{5} - \dfrac{x}{3}\right)$ distribute the 15, since both 3 and 5 are factors of 15 you will clear the fraction to give the expression $\displaystyle 9x-5x$
    Last edited by e^(i*pi); Dec 10th 2010 at 03:33 PM. Reason: tis an expression, not an equation
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