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#1 2009-03-27 09:00:47
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Linear Diophantine equation in two variables
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#2 2009-03-27 09:31:12
- Ricky
- Moderator
- Registered: 2005-12-04
- Posts: 3,791
Re: Linear Diophantine equation in two variables
An all too common application of this is: If I have arbitrarily many coins two different values, how many ways can I make a third value. Here you must restrict to positive solutions, but it takes very little effort to do so.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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