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

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

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

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

\[Ответ:(2;29).\]