A linear Diophantine equation is a Diophantine equation in which all the arguments appear to no higher than the first degree.
- $ax + by + c = 0$
- $a_1 x_1 + a_2 x_2 + \cdots + a_n x_n = b$
- Fermat's Last Theorem: $x^n + y^n = z^n$ is a well-known example of a Diophantine equation.
Source of Name
This entry was named for Diophantus of Alexandria.