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    Adderb's Avatar
    Adderb Posts: 11, Reputation: 1
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    #1

    Jan 21, 2007, 12:39 AM
    Substitution with a fraction
    y = -x/2
    2x - 3y = -7

    I have reached this point:

    2x - 3(-x/2) = -7

    Can someone help me? Thanks!
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Jan 21, 2007, 01:30 AM
    Okay, the next step is to expand the brackets:

    2x + 3x/2 = -7

    then collect similar terms

    7x/2 = -7 ---> 7x = -14

    x = -2

    you can use this value for x to work out y, using one of your initial equations.

    Then you can use the other equation to check if your values are correct.

    Hope this helps
    Adderb's Avatar
    Adderb Posts: 11, Reputation: 1
    New Member
     
    #3

    Jan 22, 2007, 01:31 AM
    Quote Originally Posted by Adderb
    y = -x/2
    2x - 3y = -7

    I have reached this point:

    2x - 3(-x/2) = -7

    Can someone help me? Thanks!!
    Still confused, how did you get 7x/2 = -7
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
    Uber Member
     
    #4

    Jan 22, 2007, 01:33 AM
    In order to add fractions, you need to give them the same denominator.
    so we convert 2x into a fraction with denominator 2

    2x = 4x/2

    putting this into your equation:

    4x/2 + 3x/2 = -7

    Now you can add the numerators:

    7x/2 = -7

    Apologies for not elaborating on this before, I did it in my head :p

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