\[\left\{ \begin{matrix} x + 2y = 4\ \ \ \\ 3x - 4y = 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} x = 4 - 2y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 3(4 - 2y) - 4y = 2 \\ \end{matrix} \right.\ \]
\[12 - 6y - 4y = 2\]
\[10 = 10y\]
\[y = 1.\ \ \]
\[x = 4 - 2 = 2.\]
\[Ответ:(2;1).\]