Let be $\space 7x+9y=5 \space$ a linear diophantine equation, in two variables. What are the integer solutions for $x$ and $y$?
I know that $7x+9y=5$ is a cartesian equation for a line in the plane. Then I thought, if one could define $x$ and $y$ in terms of the same parameter, it would be possible to know all the integer solutions. But I don't have clue on how can convert an diophantine equantion in the form $ax+by=c$ to its parametric form.
Can you give me some hints?Thanks.