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Math Help - System of equation

  1. #1
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    Question System of equation

    The solution to the system of equations below is
    x+2y-z=-3
    2x-y+3z=14
    x+4y-2z=-8
    My answer after using excel is (1,1,6) is this right thanks for checking.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kwtolley
    The solution to the system of equations below is
    x+2y-z=-3
    2x-y+3z=14
    x+4y-2z=-8
    My answer after using excel is (1,1,6) is this right thanks for checking.
    Substitute the candidate solution back into the equations, then if what
    you have is true then the candidate is the solution, so:

    The LHS of the first equation is: 1+(2\times 1)-6=-3 checks.

    The LHS of the second equation is (2\times 1)-1+(3 \times 6)=2-1+18=19,
    which is not equal to the RHS, so no (1,1,6) is not a solution
    of the system.

    RonL
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  3. #3
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    Post rework

    I'm going to re work the problem and repost, is that ok. Thanks for checking my answer.
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