\[\left\{ \begin{matrix} x - 6y = 15 \\ 4x + 3y = 6 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x = 15 + 6y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 4(15 + 6y) + 3y = 6 \\ \end{matrix} \right.\ \]
\[60 + 24y + 3y = 6\]
\[27y = - 54\]
\[y = - 2.\]
\[x = 15 + 6 \cdot ( - 2) = 3.\]
\[Ответ:(3; - 2).\]