\[\left\{ \begin{matrix}
3x + y = 4\ \ \ \ \\
5x - 2y = 14 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix}
y = 4 - 3x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
5x - 2(4 - 3x) = 14 \\
\end{matrix} \right.\ \]
\[5x - 8 + 6x = 14\]
\[11x = 22\]
\[x = 2.\ \ \]
\[y = 4 - 6 = - 2.\]
\[Ответ:(2;\ - 2).\]