\[\left\{ \begin{matrix} 7x - y = 10\ \ | \cdot 2\ \\ 5x + 2y = - 1\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} 14x - 2y = 20 \\ 5x + 2y = - 1\ \\ \end{matrix} \right.\ \ ( + )\]
\[19x = 19\]
\[x = 1.\]
\[y = 7x - 10 = 7 \cdot 1 - 10 = - 3.\]
\[\left\{ \begin{matrix} x = 1\ \ \ \\ y = - 3 \\ \end{matrix} \right.\ \]
\[Ответ:(1;\ - 3).\]