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