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    vprasad01's Avatar
    vprasad01 Posts: 1, Reputation: 1
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    #1

    Sep 21, 2008, 01:38 PM
    simultaneous linear equations in two variables
    5x+3y=2
    2x+y=1

    how to do it in the easy way?
    Curlyben's Avatar
    Curlyben Posts: 18,514, Reputation: 1860
    BossMan
     
    #2

    Sep 21, 2008, 01:41 PM
    solve one of them for X then feed that result into the other ;)
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Sep 23, 2008, 05:05 AM

    But that will make fractions arise. I suggest make 'y' the subject of formula for the second equation, then replace the function into the first equation.
    Credendovidis's Avatar
    Credendovidis Posts: 1,593, Reputation: 66
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    #4

    Sep 30, 2008, 04:56 PM
    Quote Originally Posted by vprasad01 View Post
    5x+3y=2 / 2x+y=1 / how to do it in the easy way?
    Just make one of the unknowns equal in quantity : lets make both

    Multiply each item in ( 2x +y = 1 ) with 3 --> 6x + 3y = 3

    Solve 3y --> 3y = 3 - 6x

    Replace this into the first equation ( 5x + 3y = 2 ) ----> 5x + (3 - 6x) = 2

    Solve : 5x + 3 - 6x = 2 ----> 5x - 6x = 2 -3 ----> -1x = -1 ----> x = 1

    Fill that in in any of the equations and you'll find that y = -1

    Simple, isn't it ?

    :)

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