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

    May 20, 2010, 06:19 PM
    how to do elimination in algebra 1y = 1 + 2x 5x - 2y = 18
    I did a few problems like
    x + y = 3
    x - y = 5
    but I can't figure out how to do this one because they don't line up and when you make them line up the x's or the y's don't cancel out. I'm stuck. : /

    y = 1 + 2x
    5x - 2y = 18
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #2

    May 21, 2010, 09:21 AM

    Yes, they would do if you know what to do.

    y = 1 + 2x
    5x - 2y = 18

    Okay, you can move the 'y' in the first to the right and the '1' to the left giving:
    -1 = 2x - y

    right?

    Okay, you can write it this way too:
    2x - y = -1

    Now, I'll put them one under the other to see what has to be done.
    2x - y = -1
    5x - 2y = 18

    If you want to eliminate y, you need 2y and 2y, or y and y only. It's easier to make them 2y and 2y. So, multiply the first equation by 2 throughout.

    2(2x - y) = 2(-1)

    Notice that if you expand, you get:

    4x - 2y = -2

    and from the beginning, you had:

    5x - 2y = 18

    Now, you can solve by elimination.
    4x - 2y = -2
    5x - 2y = 18

    Is it OK? :)

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