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Math Help - Simultaneous Equations

  1. #1
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    Simultaneous Equations

    Solve the following 3 equations simultaneously
    2x + 3y + z = 21
    2x - 3y + 2z = -8
    2x + y - z = 11
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  2. #2
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    Quote Originally Posted by Monorail View Post
    Solve the following 3 equations simultaneously
    2x + 3y + z = 21------------------1
    2x - 3y + 2z = -8-------------------2
    2x + y - z = 11----------------------3
    From 1

    2x = 21 - 3y - z ---------------4

    Put this in 2

    21 - 3y -z - 3y +2z = -8

    -6y - 3z = -33

    2y + z = 11

    z = 11 -2y --------------5

    Put 5 in 4

    2x = 21 - 3y - 11+2y

    2x = 10 -y----------------6

    Put 5 & 6 in 3

    10-y +y - 11 + 2y = 11

    2y = 12

    y = 6

    Put this in 5 & 6

    x = 5 - y/2 = 2

    z = 11-2y = 11 - 12 = -1
    ---------------------------------------------------------------


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  3. #3
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    Wow that seems complicated, but i think I get it. Thanks for the help, I'm looking at the wiki article now.
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