\[\left\{ \begin{matrix} 2x + 7y = 11 \\ 4x - y = 7\ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = 4x - 7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 2x + 7(4x - 7) = 11 \\ \end{matrix} \right.\ \]
\[2x + 28x - 49 = 21\]
\[30x = 60\]
\[x = 2.\ \ \]
\[y = 8 - 7 = 1.\]
\[Ответ:(2;1).\]