PreAlgebra [FOUND THE ANSWER]
posted by mysterychicken on .
Earlier I posted a qustion about ordered pairs and I was asked to repost 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

There an infinite number or ordered pairs satifying
2x  3y = 12.
1Divide through by the lowest coefficient, 2, yielding x  y  y/2 = 6.
2y/2 must be an even integer k making y = 2k
3Subbing back into (i) yields 2x  6k = 12 making x = 6 + 3k
4k....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.