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Posted by 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 - , 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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