Definition:Diophantine Equation/Linear Diophantine Equation

Definition
A linear Diophantine equation is a Diophantine equation in which all the arguments appear to no higher than the first degree.

For example:


 * $ax + by + c = 0$


 * $a_1 x_1 + a_2 x_2 + \cdots + a_n x_n = b$