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Math Help - Variable Equation help

  1. #1
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    Variable Equation help

    Hello,
    I am trying to solve for the following problem:

    x / (8.8 + x) = .57

    I have the solution for the problem (x=11.8), but I keep going over and over with this and can't figure out how to solve for the x. I think it's been way too long since I've taken an algebra class. If anyone could help provide a step by step solution that would be great - thank you so much!!!
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  2. #2
    Super Member bigwave's Avatar
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    Quote Originally Posted by BeachChica View Post
    Hello,
    I am trying to solve for the following problem:

    x / (8.8 + x) = .57

    I have the solution for the problem (x=11.8), but I keep going over and over with this and can't figure out how to solve for the x. I think it's been way too long since I've taken an algebra class. If anyone could help provide a step by step solution that would be great - thank you so much!!!
     <br />
\frac{x}{\left (8.8 + x\right)} = .57<br />

    multiply both side by \left (8.8 + x\right)

     <br />
x = .57(8.8 + x)<br />

    can you finish from here
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  3. #3
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    Hi Big wave - thanks for your reply. Got to that point and ended up with:

    x = 5.0160 + .57x

    but I get stuck again on how to move that x so that both x's are on the same side.

    Thank you again!
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  4. #4
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    Talking

    Subtract from both sides to get the x-containing terms together on the left-hand side. Then simplify and divide through to complete the solution.
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  5. #5
    Super Member bigwave's Avatar
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    ok next step is to get all terms with x on one side and combine

     <br />
x - .57x = 5.0160<br />
    or

    .43x = 5.0160

    now divide both sides by .43

    x = 11.665116

    which slighty off from 11.8 in your answer
    this may be due to rounding
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  6. #6
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    okay sorry, I am really feeling dumb with this, but the step by step is helping!!!

    Here's what I got:

    x -.57x = 5.0160

    So then do I divide both sides by the .57?
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  7. #7
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    BigWave - thank you now I see what you did, so you bascially made the x equal to 1 to simplify?
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  8. #8
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    Quote Originally Posted by BeachChica View Post
    BigWave - thank you now I see what you did, so you bascially made the x equal to 1 to simplify?
    No, he did not "make x equal to 1". What he did was recognize that x= 1 times x so that x- .57x= (1- .57)x= .43x.
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  9. #9
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    Thank you, that's what I was thinking but didn't really come out that way in my message. Thanks to all for all of your help!!!!!
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