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Math Help - matrix problem

  1. #1
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    matrix problem

    solve the following system of equations algebraically

    x-2y-z=2
    2x+2y-z= -5
    -x-y+2z=7
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  2. #2
    MHF Contributor
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    Quote Originally Posted by waterboy View Post
    solve the following system of equations algebraically

    x-2y-z=2
    2x+2y-z= -5
    -x-y+2z=7
    Hi

    (1) x-2y-z=2
    (2) 2x+2y-z= -5
    (3) -x-y+2z=7

    (1)+(2) 3x-2z =-3 => x=-1+2z/3
    (1)+(3) -3y+z=9 => y=-3+z/3

    (2) 2(-1+2z/3)+2(-3+z/3)-z=-5 => -8+z=-5 => z=3
    x=-1+2z/3=1
    y=-3+z/3=-2
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