\[\left\{ \begin{matrix} x + 4y = - 6 \\ 3x - y = 8 \\ \end{matrix} \right.\ \Longrightarrow\]
\[\left\{ \begin{matrix} x = - 6 - 4y\ \ \ \ \ \ \ \ \ \ \ \ \\ - 18 - 12y - y = 8 \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} x = - 6 - 4y \\ - 26 = 13y\ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x = 2\ \ \ \\ y = - 2 \\ \end{matrix} \right.\ \]
\[Ответ:(2;\ - 2)\text{.\ }\]