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General Solution To Three Simultaneous Equations

  1. Sep 9, 2015 #1
    I herewith submit for reference, review and comment the general solution to 3 simultaneous equations as follows:

  2. jcsd
  3. Sep 9, 2015 #2


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    Lot of work plus a lot of typesetting !
    I do notice that you have written down a general solution for a not so general set of three equations in three unknowns.
    Are you familiar with things like inverting a 3x3 matrix? Your matrix has zeros on the diagonal.
  4. Sep 9, 2015 #3
    I agree, it's a general solution to a specific set of equations :)

    Thanks, I thought that there was a simpler way of solving those.
  5. Sep 9, 2015 #4


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    There are several ways of solving a system of linear equations. The most well-known is the "Gaussian elimination" (https://en.wikipedia.org/wiki/Gaussian_elimination). In the general case, you probably need to do a "pivot swapping" for each column to ensure that you do not divide by zero.
  6. Sep 10, 2015 #5
    The typesetting was not a problem -- all handled by LibreOffice Math. It was easier than writing.
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