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Math Help - simultaneous equations arrgh

  1. #1
    Member i_zz_y_ill's Avatar
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    simultaneous equations arrgh

    could someone go through the steps for me for giving x,y,z in terms of m,my method is really long and wrong.

    4x+y+7z=12
    3x+2y+5z=m
    8x+5y+13z=0

    thnx alot
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  2. #2
    Moo
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    Hello,

    You can use matrices..

    \begin{pmatrix} 4 & 1 & 7 \\ 3 & 2 & 5 \\ 8 & 5 & 13 \end{pmatrix} \begin{pmatrix} x \\ y \\ z \end{pmatrix}=\begin{pmatrix} 12 \\ m \\ 0 \end{pmatrix}

    And act on the first matrix (3x3)


    Otherwise... it's the same method as above :

    (3)-2(1) will annulate x. --> expression in terms of y and z.

    (2)-2(1) will annulate y. --> expression in terms of x and z (and m).

    5(1)-7(2) will annulate z. --> expression in terms of x and y (and m).

    etc
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