# Algebra

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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 -

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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