\[\begin{array}{l}
35,5x + 96y = 16,7\\
\Leftrightarrow \frac{{71}}{2}x + 96y = \frac{{167}}{{10}}\\
\Leftrightarrow 255x + 960y = 167\\
\Leftrightarrow 960y = 167 - 255x\\
\Leftrightarrow y = \frac{{167}}{{960}} - \frac{{17}}{{64}}x.\\
\Rightarrow \left\{ \begin{array}{l}
x \in R\\
y = \frac{{167}}{{960}} - \frac{{17}}{{64}}x
\end{array} \right..
\end{array}\]