\[\left\{ \begin{matrix} x + y = 7\ \ \\ 2x - y = 8 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} y = 7 - x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 2x - (7 - x) = 8 \\ \end{matrix} \right.\ \]
\[2x - 7 + x = 8\]
\[3x = 15\]
\[x = 5.\]
\[y = 7 - x = 7 - 5 = 2.\]
\[Ответ:(5;2).\]