Решите систему уравнений: 3(5x+3y)-6=2x+11; 4x-15=11-2(4x-y).

\[\left\{ \begin{matrix}
3 \cdot (5x + 3y) - 6 = 2x + 11 \\
4x - 15 = 11 - 2 \cdot (4x - y) \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
15x + 9y - 6 - 2x = 11\ \ \ \\
4x - 15 = 11 - 8x + 2y\ \ \ \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
13x + 9y = 17\ \ \ \ \ \ \ \ \ \ \\
12x - 2y = 26\ \ \ | \cdot \frac{9}{2} \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
13x + 9y = 17\ \ \ \\
54x - 9y = 117 \\
\end{matrix} \right.\ ( + )\]

\[67x = 134\]

\[x = 2.\]

\[\left\{ \begin{matrix}
y = 6x - 13 \\
x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix}
y = 12 - 13 \\
x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
x = 2\ \ \ \\
y = - 1 \\
\end{matrix} \right.\ \]

\[Ответ:(2;\ - 1).\]