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Math Help - Infinite Solutions

  1. #1
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    Smile Infinite Solutions

    So I had to solve systems and if the system has an infinite solution set, we had to give three solutions for it. However, I'm not really sure how to get these solutions, please help!

    x+y=4(y+2)
    x-y=2(y+4)

    x+y=4y+8
    x-y=2y+8
    x-3y=8
    x-3y=8

    -x+3y=-8
    x-3y=8
    0=0

    Thanks =)
    Last edited by mjp1991; November 3rd 2008 at 03:56 PM.
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  2. #2
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    Quote Originally Posted by mjp1991 View Post
    So I had to solve systems and if the system has an infinite solution set, we had to give three solutions for it. However, I'm not really sure how to get these solutions, please help!

    x+y=4(y+2)
    x-y=2(y+4)

    x+y=4y+8
    x-y=2y+8
    x-3y=8
    x-3y=8

    -x+3y=-8
    x-3y=8
    0=0

    Thanks =)
    All your considerations and calculations are OK.

    The elements of the solution set are pairs of numbers with the property y=\dfrac13 x - \dfrac83

    You only have to choose for some x-values, calculate the corresponding y-values and that's it:

    For instance: (-1, -3); (2,-2); (8, 0)
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