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Thread: linear equation

  1. #1
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    linear equation

    how do i solve a linear equation with fractions
    Last edited by jennifer b; Sep 14th 2008 at 02:39 AM.
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  2. #2
    Super Member 11rdc11's Avatar
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    Post an example and I'll solve it so you can follow the steps.
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  3. #3
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    1/3 (x+2)=1/5(3x+2)
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  4. #4
    Super Member 11rdc11's Avatar
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    $\displaystyle \frac{(x+2)}{3}=\frac{1}{5(3x+2)}$

    Cross multipy

    $\displaystyle 3 = 5(x+2)(3x+2)$

    then distribute

    $\displaystyle 3= (5x+10)(3x+2)$

    $\displaystyle 3 = 15x^2 +10x + 30x + 20$

    Combine like terms

    $\displaystyle 3 = 15^2 + 40x +20$

    Bring the 3 to other side

    $\displaystyle 0 = 15x^2 + 40x +17$

    Now use quad formula to solve
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  5. #5
    Super Member 11rdc11's Avatar
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    Here another example

    $\displaystyle \frac{x+2}{3} = \frac{3x+2}{5}$

    cross multiply

    $\displaystyle 5(x+2)= 3(3x+2)$

    distribute

    $\displaystyle 5x+10 = 9x +6$

    combine like terms

    $\displaystyle 4= 4x$

    solve for x

    $\displaystyle x = 1$
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  6. #6
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    Smile

    thank you
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