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

    Feb 5, 2008, 06:11 PM
    solving systems
    how do you solve this problem without using a calculator..

    3x-6y=12
    2x-4y=8

    you have to write no solution or infinitely many solutions... its solving systems by graphing
    SirOracle's Avatar
    SirOracle Posts: 11, Reputation: 1
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    #2

    Feb 5, 2008, 09:47 PM
    if you divide both sides of the first equation by 3 and both sides of the second equation by 2, you get:

    x - 2y = 4
    x - 2y = 4

    Since these are both the same line, there are infinitely many solutions. This could also be shown by plugging in any x value into both equations, as it would yield the same y value in each case. Graphing points on the line would also show that the lines are the same.
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