Number Theory
# Linear Diophantine Equations

Yes or No?

Are there any non-negative integer solutions to the equation

$13m + 15n = 170?$

Yes or No?

If $a>4$ is an integer that is $\color{#D61F06}{\text{not}}$ a multiple of 13, can we express $11a-39$ as a non-negative integer linear combination of $a$ and 13?