\section*{Problem 2 - 191032}

Determine all pairs \((x ; y)\) of real numbers for which, firstly, the term on the left side (as a real number) in the equation

\[
2^{\sqrt{1+x-3 y}}+3^{\sqrt{2 x-4 y+1}}=2
\]

is defined, and secondly, the equation is satisfied!