Решите методом сложения систему уравнений 2x+3y=7; 7x-3y=11.

\[\left\{ \begin{matrix} 2x + 3y = 7\ \ \\ 7x - 3y = 11 \\ \end{matrix} \right.\ ( + )\text{\ \ \ \ \ \ \ \ }\]

\[9x = 18\]

\[x = 2.\]

\[\left\{ \begin{matrix} x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \\ 3y = 7 - 2x \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 3y = 7 - 2 \cdot 2 \\ \end{matrix} \right.\ \]

\[\ \left\{ \begin{matrix} x = 2\ \ \ \\ 3y = 3 \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} x = 2 \\ y = 1 \\ \end{matrix} \right.\ \]

\[Ответ:(2;1).\]