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Math Help - solving an equation

  1. #1
    Junior Member
    Joined
    Jan 2009
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    solving an equation

    Hi,

    I need some help solving an equation for y=17-x-(π/2)x. I solved for x earlier in the problem and got x=34/(π+4). I got as far as to y=17-(34/(π+4))-(π/2)(34/(π+4)) in solving the equation, but I'm not sure what to do next. The answer is 34/(π+4). Does anyone have any suggestions on what I should do?

    Thank you in advance for the help!
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  2. #2
    Member sbhatnagar's Avatar
    Joined
    Sep 2011
    From
    New Delhi, India
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    17

    Re: solving an equation

    You are supposed to make a common denominator.
    y=17-x - x{\left (\frac{\pi}{2}\right)}

    \text{Substitute} \hspace{4} : x=\frac{34}{(\pi+4)}.
    \begin{align*} y &= 17-x-x{\left (\frac{\pi}{2}\right)} \\ &= 17-\frac{34}{(\pi+4)} -{\left (\frac{34}{(\pi+4)}\right)}{\left (\frac{\pi}{2}\right)} \\ &= 17- \left( \frac{34}{\pi+4}\right) {\left ( \frac{2+\pi}{2}\right)} \\ &=\frac{34(\pi+4)-34(2+\pi)}{2(\pi+4)} \\ &= \frac{34\pi-34\pi+34(4)-34(2)}{2(\pi+4)} \\ &=\frac{34(2)}{2(\pi+4)}\\ &= \frac{34}{\pi+4}\end{align*}
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