Posted by **Cassie** on Friday, February 27, 2009 at 5:49pm.

Find three ordered pairs (a,b) that satisfy the equation 3a - 5b = 9.

So far, I got (3,0). I'm having trouble finding others. Does anyone have suggestions on other easy ways to find ordered pairs besides guess-and-check? Thank you!

- Algebra -
**Reiny**, Friday, February 27, 2009 at 6:27pm
change it to

3a = 5b + 9

a = (5/3)b + 3

pick any multiple for b , eg. b = -3,3,6,-6 etc and out comes the a as an integer.

Your point is when b = 0 (also a multiple of 3 btw)

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