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Math Help - System of equations with 3 variables

  1. #1
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    System of equations with 3 variables

    Solve and discuss equations
    x + ky=1
    kx - 3ky = 2k+3
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    x + ky=1
    kx - 3ky = 2k+3

    We can assume that k is a parameter, now you solve it becomes a two equitation with two variables x and y.

    Now we solve it,

    multiply the first equation by 3 and add to the second one.
    You get:
    3x + 3ky +kx-3ky=3+2k+3
    3x +kx=6+2k
    x(3+k)=2(3+k)
    x=3


    I let you find y...
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  3. #3
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    Quote Originally Posted by Also sprach Zarathustra View Post
    ...
    3x +kx=6+2k
    x(3+k)=2(3+k)
    x=3 <<<<<<<<<<< typo


    I let you find y...
    hmmm ...
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  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
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    Quote Originally Posted by earboth View Post
    hmmm ...


    yes, thanks, I'm sorry
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