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Math Help - [SOLVED] Confirm my answer too please!

  1. #1
    Newbie haflore's Avatar
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    [SOLVED] Confirm my answer too please!

    I just wanted to make sure that I had done my math correctly on this question:


    Solve by graphing(I can't show the graphs, but the problem and my working is as follows)

    Question
    3x+2y=8
    6x+4y=16

    Working
    3x+2y=8
    6x+4y=16

    I put 3x+2y=8 into terms of y so it became 2y=8-3x.

    Then I divided that equation by 2 so it became:y=4-3/2x

    I replaced x with values from 0-2 and worked the problems out, resulting in this: x=0 y=4
    x=1 y=5/2 or 2 1/2
    x=2 y=1

    I repeated the process with the second string and came out with this:
    x=0 y=4
    x=1 y=5/2 or 2 1/2
    x=2 y=1

    since the solutions were identical I decided that the lines coincide.

    _________________________________


    Thank you in advance for all your help.
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  2. #2
    Super Member
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    Oct 2007
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    London / Cambridge
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    Quote Originally Posted by haflore View Post
    I just wanted to make sure that I had done my math correctly on this question:


    Solve by graphing(I can't show the graphs, but the problem and my working is as follows)

    Question
    3x+2y=8
    6x+4y=16

    Working
    3x+2y=8
    6x+4y=16

    I put 3x+2y=8 into terms of y so it became 2y=8-3x.

    Then I divided that equation by 2 so it became:y=4-3/2x

    I replaced x with values from 0-2 and worked the problems out, resulting in this: x=0 y=4
    x=1 y=5/2 or 2 1/2
    x=2 y=1

    I repeated the process with the second string and came out with this:
    x=0 y=4
    x=1 y=5/2 or 2 1/2
    x=2 y=1

    since the solutions were identical I decided that the lines coincide.

    _________________________________


    Thank you in advance for all your help.
    refer to masters comment below
    Last edited by bobak; May 8th 2008 at 04:01 PM.
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  3. #3
    A riddle wrapped in an enigma
    masters's Avatar
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    Your second linear equation is a multiple of your first linear equation. Each term was multiplied by 2. Multiples of a linear equation always graph the same line.
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  4. #4
    Newbie haflore's Avatar
    Joined
    Feb 2008
    Posts
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    I really appreciate your help, guys, thanks!
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