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Math Help - solving Equations with fractions

  1. #1
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    solving Equations with fractions

    I am having a problem solving is 4 a solution to 1/2 (y-2)+2= 3/8 (3y-4) not sure where to begin.
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  2. #2
    Master Of Puppets
    pickslides's Avatar
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    Maybe expand these brackets and group some like terms to solve.

    Here's a kick start...

    \frac{1}{2}(y-2)+2 = \frac{3}{8}(3y-4)

    \frac{y}{2}-1+2 = \frac{9y}{8}-\frac{12}{8}

    \frac{y}{2}+1 = \frac{9y}{8}-\frac{12}{8}

    Or if you only need to know if 4 is a solution then substitute it into both LHS and RHS of the equation. Do you get the same result?
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  3. #3
    MHF Contributor
    skeeter's Avatar
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    multiply both sides of the equation by 8 to clear the fractions ...

    8\left[\frac{1}{2}(y-2)+2\right] = 8\left[\frac{3}{8}(3y-4)\right]

    4(y-2)+16 = 3(3y-4)

    take it from there? ...
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