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Math Help - Solving System of Equations by Graphing

  1. #1
    Gui
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    Solving System of Equations by Graphing

    Hey!

    I've got a problem I need help with. I'm trying to solve this system of equations by graphing.
    However, I can't seem to convert the second equation into slope-intercept form so that I can graph it.
    I just started 10th grade, and although I'm pretty good at math I'd appreciate if you didn't get too complicated

    The problem:

    5. Solve the system of equations by graphing:
    x+\frac{y}{2}=-3
    \frac{x}{6}+\frac{y}{3}=2

    What I've got so far:
    I've converted the first equation to slope-intercept form and graphed it:
    y=-2x-6
    The closest to getting the second equation in slope-intercept form I have is:
    y=-\frac{x}{2}+6

    Any and all help is appreciated, please and thanks!
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  2. #2
    A Plied Mathematician
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    Your second solved equation should be

    \displaystyle{y=-\frac{x}{2}+6}, don't you think?
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  3. #3
    Gui
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    Quote Originally Posted by Ackbeet View Post
    Your second solved equation should be

    \displaystyle{y=-\frac{x}{2}+6}, don't you think?
    Typo, yes that's as far as I got. However, with that, what's the slope?


    EDIT: Oh, it's -0.5, correct?
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  4. #4
    A Plied Mathematician
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    Well, doesn't

    \displaystyle{-\frac{x}{2}=\left(-\frac{1}{2}\right)x?}

    [EDIT]: Right.
    Last edited by Ackbeet; August 27th 2010 at 08:37 AM. Reason: You seem to have gotten it.
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  5. #5
    Gui
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    Yes, it does. Thank you!

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