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Math Help - basic problem

  1. #1
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    basic problem

    x=5-.5(5-.5x)

    The text tells me the answer is 10/3 but I just get 10. I'm a fourth year business student and I can't get this, pretty embarrassing. It's part of a bigger managerial economics problem.

    Thanks for your help.
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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by moneynesy View Post
    x=5-.5(5-.5x)

    The text tells me the answer is 10/3 but I just get 10. I'm a fourth year business student and I can't get this, pretty embarrassing. It's part of a bigger managerial economics problem.

    Thanks for your help.
    x=5-\frac{1}{2}(5-\frac{1}{2}x)

    \Rightarrow x=5-(\frac{5}{2}-\frac{1}{4}x)

    \Rightarrow x=5-\frac{5}{2}+\frac{1}{4}x\ \ Distribute the -1 (I'm gonna guess this is where you made your mistake)

    \Rightarrow x=\frac{5}{2}+\frac{1}{4}x

    \Rightarrow x-\frac{1}{4}x=\frac{5}{2}

    \Rightarrow x(1-\frac{1}{4})=\frac{5}{2}

    \Rightarrow \frac{3}{4}x=\frac{5}{2}

    \Rightarrow x=\frac{5}{2}\cdot \frac{4}{3} = \frac{10}{3}
    Last edited by Anonymous1; April 9th 2010 at 09:37 PM.
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  3. #3
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    I need to find x
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  4. #4
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    haha thank you sir
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  5. #5
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by moneynesy View Post
    haha thank you sir
    Anytime.
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