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    janirabmira's Avatar
    janirabmira Posts: 3, Reputation: 1
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    #1

    Sep 19, 2009, 09:02 AM
    solving systems of linear equations using the gaussian method
    I don't understand how to solve for solving systems of linear equations using the Gaussian elimination method.

    x - 3y + 4z = 1
    4x - 10y + 10z = 4
    -3x - 9y-5z = -6

    could someone explain how this is done
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Sep 19, 2009, 09:27 AM

    I know how to solve these, but I doubt if that is the 'Gaussian' method...

    x - 3y + 4z = 1
    4x - 10y + 10z = 4
    -3x - 9y-5z = -6

    First equation multiplied by three:
    3x - 9y + 12z = 3

    Added to the third equation:
    -18y + 7z = -3 ~~~~ a.

    First equation multiplied by 4:
    4x - 12y + 16z = 4

    Subtracted from second equation:
    2y - 6z = 0 ~~~~~ b.

    Now, with equations a. and b. you can solve for the rest.
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