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If 8ab+7b+3a=c, whats the best way to figure out either a or b

  1. Dec 20, 2011 #1
    C is a known number, therefore I would only need to solve for a or b. Whats the best way to solve this, a few things come to mind, using a matrix or differential equations, but I'm not sure how they are applicable to this situation.
  2. jcsd
  3. Dec 20, 2011 #2
    There are infinitely many solutions. So you're going to have a free variable. So let a be the free variable, then you can easily solve for b.
  4. Dec 20, 2011 #3
    I should have mentioned, a and b are integers, and there is only one solution for a and b to get c. I may be able to find another equation that is equal to c. Would I need this in order to solve the equation?
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