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Pre-Algebra [FOUND THE ANSWER]

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Earlier I posted a qustion about ordered pairs and I was asked to re-post the answer when I get it.

2x - 3y= 12

These are the two I had: (9,2) and (12,4)

I found this one: (15,6)

-MC

  • Pre-Algebra [FOUND THE ANSWER] -

    There an infinite number or ordered pairs satifying
    2x - 3y = 12.

    1--Divide through by the lowest coefficient, 2, yielding x - y - y/2 = 6.
    2--y/2 must be an even integer k making y = 2k
    3--Subbing back into (i) yields 2x - 6k = 12 making x = 6 + 3k
    4--k....0....1....2....3....4....5....6
    ...x....6....9...12...15...18...21...24
    ...y....0....2...4.....6....8...10...12
    ...and so on.

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