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Math Help - Simultaneous equations problem

  1. #1
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    Simultaneous equations problem

    How to use the method of substitution to solve the following simultaneous equation?
    3x+10y=51
    x-y/2=11/2
    What are the following steps?
    Last edited by william24; August 19th 2012 at 04:47 PM.
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  2. #2
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    Re: Simultaneous equations problem

    Quote Originally Posted by william24 View Post
    How to use the method of substitution to solve the following simultaneous equation?
    3x+10y=51
    x-y/2=11/2
    What are the following steps?
    Determine y in the 2nd equation:

    x-\frac y2=\frac{11}2~\implies~\boxed{y=2x-11} [A]

    Now replace y by the term 2x-11 in the 1st equation:

    3x+10y=51~\implies~3x+10(2x-11)=51~\implies~23x = 161~\implies~x=7

    Now re-substitute the value of x into the equation [A] to get the value of y.
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