Решите систему уравнений: 5x-3y=11; 3x+y=1.

\[\left\{ \begin{matrix} 5x - 3y = 11 \\ 3x + y = 1\ \ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} y = 1 - 3x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ 5x - 3(1 - 3x) = 11 \\ \end{matrix} \right.\ \]

\[5x - 3 + 9x = 11\]

\[14x = 14\]

\[x = 1;\ \]

\[y = 1 - 3 \cdot 1 = - 2.\]

\[Ответ:(1; - 2).\]