existence, x+2y+3z+7t=a and y+2z+5t=b
Source: Yugoslav TST 1981 P3
May 29, 2021
Diophantine equationnumber theory
Problem Statement
Let be nonnegative integers. Prove that if and only if there exist nonnegative integers such that
\begin{align*}
x+2y+3z+7t&=a,\\
y+2z+5t&=b.
\end{align*}