Решите систему уравнений x-6y=17; 5x+6y=13.

\[\left\{ \begin{matrix}
x - 6y = 17\ \ \\
5x + 6y = 13 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ }\left\{ \begin{matrix}
x = 17 + 6y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
5(17 + 6y) + 6y = 13 \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
x = 17 + 6y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
85 + 30y + 6y = 13 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix}
x = 17 + 6y \\
36y = 72\ \ \ \ \ \ \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
y = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
x = 17 + 6 \cdot 2 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix}
x = 2\ \ \\
y = 29 \\
\end{matrix} \right.\ \]

\[Ответ:(2;29).\]