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    bratzdoll3's Avatar
    bratzdoll3 Posts: 1, Reputation: 1
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    #1

    Dec 17, 2006, 04:39 PM
    alg 2
    what's the x coordinate of the solution of the following system od linear equations?
    -3x-5y=-23
    2x-4y=-14

    is the answer

    a. 4
    b. 0
    c. -4
    d. -1
    e. 1

    how do you do this?
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Dec 17, 2006, 04:51 PM
    for simultaneous equations, you need to multiply up so you can get rid of a variable.

    In this case you want X, so we need to get rid of y

    If you multiply all terms in your top equation by 4 and all terms in your bottom equation by 5, you will have 2 equations both with -20y in them.

    You can then subtract the two equations, ending up with 0y and an amount of x, it's then simple algebra to solve for x.

    Let me know how you get on!
    CaptainForest's Avatar
    CaptainForest Posts: 3,645, Reputation: 393
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    #3

    Dec 17, 2006, 10:11 PM
    If I have done my math correct…..

    -3x-5y=-23
    2x-4y=-14

    -5y=-23 + 3x
    -4y =-14 – 2x

    y = 4.6 - 0.6x
    y =3.5 + 0.5x

    3.5 + 0.5x = 4.6 - 0.6x
    0.6x + 0.5x = 4.6 – 3.5
    1.1x = 1.1
    x = 1
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    Dec 18, 2006, 05:27 AM
    Ewww dividing.

    Multiplying up is your friend.
    CaptainForest's Avatar
    CaptainForest Posts: 3,645, Reputation: 393
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    #5

    Dec 19, 2006, 12:31 AM
    -5y=-23 + 3x
    x4
    = -20y = -92 + 12x


    -4y =-14 – 2x
    X 5
    = -20y = -70 – 10x


    -92 + 12x = -70 – 10x
    12 x + 10 x = -70 + 92
    22x = 22
    x = 1

    I still get x=1
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #6

    Dec 19, 2006, 06:10 AM
    Well yes... I'm not saying you're wrong :p
    CaptainForest's Avatar
    CaptainForest Posts: 3,645, Reputation: 393
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    #7

    Dec 19, 2006, 12:53 PM
    Lol

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