Решите систему уравнений 2x+y=3; 3x-5y=37.

\[\left\{ \begin{matrix} 2x + y = 3\ \ \ \ | \cdot 5\ \\ 3x - 5y = 37\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} 10x + 5y = 15 \\ 3x - 5y = 37\ \ \\ \end{matrix} \right.\ ( + )\]

\[13x = 52\]

\[x = 4.\]

\[y = 3 - 2x = 3 - 2 \cdot 4 = 3 - 8 = - 5.\]

\[\left\{ \begin{matrix} x = 4\ \ \ \\ y = - 5 \\ \end{matrix} \right.\ \]

\[Ответ:(4; - 5).\]