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Math Help - Solution to a System

  1. #1
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    Solution to a System

    I was wondering if anyone could verify my answer to the following:

    Determine if the given values are a solution of this system:
    (4,0, -3)

    4x-y+2z= 10
    -8x+2y+z= -35
    -x-2y+6z= -22

    I got x=4, y=0 and z=-3
    So yes, the given values are a solution of this system.

    Is this correct?
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  2. #2
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    Re: Solution to a System

    Yes. Why are you "not sure"?


    Did you notice this quick way to get z? (NOT important, really...more luck!)

    4x-y+2z= 10 [1]

    -8x +2y + z= -35 [2]
    8x -2y + 4z = 20 [1]*2
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  3. #3
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    Re: Solution to a System

    I wasn't sure if the value of my variables were placed properly, when I did them in the order listed above, the equations came out true. I was just double checking. Each of my questions are worth 10 points and I really can't afford to miss any if possible. I guess I was more so second guessing myself?
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  4. #4
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    Re: Solution to a System

    Keep up the good work!
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