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  1. #1
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    system

    Solve the system:

    2x-6y=-5
    -3x+9y=6



    I'm trying to learn this on my own, and I know the answer to this problem is "none" ... but can someone tell me how I figure that?

    And, what exactly does it mean by "solve the system" ?
    Last edited by Chris L T521; February 13th 2009 at 10:42 PM. Reason: Brought back the original question. This is in the proper section of the forum.
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  2. #2
    Newbie joserizal's Avatar
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    Quote Originally Posted by toop View Post
    Solve the system:

    2x-6y=-5
    -3x+9y=6



    I'm trying to learn this on my own, and I know the answer to this problem is "none" ... but can someone tell me how I figure that?

    And, what exactly does it mean by "solve the system" ?
    you post it in algebra, so i think you need to find the values of x and y. but i think you're in the wrong section.
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by toop View Post
    Solve the system:

    2x-6y=-5
    -3x+9y=6



    I'm trying to learn this on my own, and I know the answer to this problem is "none" ... but can someone tell me how I figure that?

    And, what exactly does it mean by "solve the system" ?
    Your system is equivalent to \left\{\begin{array}{rcrcr}x&-&3y&=&-\tfrac{5}{2}\\x&-&3y&=&-2\end{array}\right.

    This implies that -\tfrac{5}{2}=-2 which is false. Thus, the system is inconsistent and has no solution.

    Does this make sense?
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  4. #4
    MHF Contributor
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    Talking

    Quote Originally Posted by toop View Post
    I know the answer to this problem is "none" ... but can someone tell me how I figure that? And, what exactly does it mean by "solve the system" ?
    To "solve the system" is to find the values of x and y by any of various methods: graphing, substitution, addition / elimination, matrices, Cramer's Rule, etc.

    The "none" solution means that there is no set of values for x and y that would make both equations true at the same time. If you try to solve the system by whatever method, you will end up with a nonsensical result, such as "2 = 0".

    Have fun!
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