January 3rd, 2010, 11:34 AM  #1 
Newbie Joined: Jan 2010 Posts: 1 Thanks: 0  solving xy+ax+by=c
How would you obtain the solutions to the equation xy+7x+3y=70? The values of x and y should be integers.

January 3rd, 2010, 01:16 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: solving xy+ax+by=c http://www.alpertron.com.ar/METHODS.HTM#SHyperb has stepbystep instructions and http://www.alpertron.com.ar/QUAD.HTM is a solver. There are only two solutions with x and y nonnegative, with six others if you allow negatives.


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