\[\left\{ \begin{matrix} 4x - y = 11\ \ \ \ \ \ \ \ \ \ \ \ \\ 2x + 5y = 11\ \ \ | \cdot 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\]
\[\ \left\{ \begin{matrix} 4x - y = 11\ \ \ \ \ \\ 4x + 10y = 22 \\ \end{matrix} \right.\ \ \ \ \ ( - )\]
\[\overline{\ \ \ - 11y = - 11\ \ \ \ \ }\]
\[\ \ \ \ \ \ \ \ \ \ \ y = 1\]
\[\left\{ \begin{matrix} y = 1\ \ \ \ \ \ \ \ \ \ \ \ \ \\ 4x = 11 + 1 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = 1 \\ x = 3 \\ \end{matrix} \right.\ \]
\[Ответ:\ \ (3;1).\]