Question 32108: Is the following a Diophantine equation?
5x + 6y + 27
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Well, this is not any kind of equation. It is, however, an expression, so the answer to your question is ...no, it is not a Diophantine equation!
But perhaps you meant to write:
5x + 6y = 27
If this is the case, then the answer is yes.
This would be an example of a linear Diophantine equation of the form: ax + by = c
In general, linear Diophantine equations are solvable iff c is divisible by the greatest common divisor of a and b. By "solvable" we mean that there exist integers, x and y, such that ax + by = c
|
|
|
