\[\left\{ \begin{matrix} x + 3y = 13 \\ 2x + y = 6\ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} y = 6 - 2x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ x + 3(6 - 2x) = 13 \\ \end{matrix} \right.\ \]
\[x + 18 - 6x = 13\]
\[- 5x = - 5\]
\[x = 1.\]
\[y = 6 - 2 \cdot 1 = 4.\]
\[Ответ:(1;4).\]