Asked by mysterychicken
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
2x - 3y= 12
These are the two I had: (9,2) and (12,4)
I found this one: (15,6)
-MC
Answers
Answered by
TchrWill
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.
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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