Решите систему уравнений: 3x-2y=14; 2x+y=7.

\[\left\{ \begin{matrix} 3x - 2y = 14 \\ 2x + y = 7\ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} y = 7 - 2x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 3x - 2(7 - 2x) = 14 \\ \end{matrix} \right.\ \]

\[3x - 14 + 4x = 14\]

\[7x = 28\]

\[x = 4;\ \]

\[y = 7 - 2 \cdot 4 = - 1.\]

\[Ответ:(4; - 1).\]