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    Dannie6251's Avatar
    Dannie6251 Posts: 1, Reputation: 1
    New Member
    		  
    #1

    Nov 5, 2007, 07:02 PM
    Solving for a Variable
    I need to show my work. I am solving for y.

    X + 2Y = 2
    giani513's Avatar
    giani513 Posts: 179, Reputation: 47
    Junior Member
    		  
    #2

    Nov 5, 2007, 10:02 PM
    To get Y alone:

    X + 2Y = 2 -> you need to cancel X on the Y side, so you subtract X since it is positive on
    both sides (if X was negative, you would add X to both sides)
    X - X + 2y = 2 - X -> (X - X = 0) the X's cancel out
    2Y = 2 - X -> To get Y alone, you have to divide 2 to both sides
    (2Y)/2 = (2 - X)/2 -> since 2/2 = 1, the 2's cancel out, leaving Y alone
    Y = (2 - X)/2

    to prove it, let's say X = 1

    1 + 2Y = 2
    1 - 1 + 2Y = 2 - 1
    0 + 2Y = 1
    (2Y)/ 2 = 1/2
    Y = 1/2

    X=1, Y = 1/2
    X + 2Y = 2
    1 + 2 * (1/2) = 2
    1 + 2/2 = 2
    1 + 1 = 2
    2 = 2
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