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