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Math Help - Need help in solving a 3 variable equation

  1. #1
    Junior Member
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    Need help in solving a 3 variable equation

    4x - 3y + 3z = 0
    3x - 2y = 0
    2x-y + 4z = 0
    Find the most general solution you can.

    Have to use matrices

    so i did this
    {1 -3/4 3/4 }
    {1 -2/3 0 }
    {1 -1/2 2 }

    my final was
    {1 -3/4 3/4}
    {0 1 -9}
    {0 0 14}

    I allowed z = t
    then y = 9t
    and x = 6t

    when i sub these values in to equation it doesn't satisfy the last equation. Can someone please help
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  2. #2
    Senior Member
    Joined
    Nov 2009
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    Quote Originally Posted by supersaiyan View Post
    my final was
    {1 -3/4 3/4}
    {0 1 -9}
    {0 0 14}
    from here we have (if you did it correctly)

    14z = 0  \rightarrow z = 0

    y - 9z = 0 \rightarrow y = 0

    x - 3/4y  + 3/4z = 0 \rightarrow x = 0
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