Решите систему уравнений 7x+5y=19, 4x-3y=5.

\[\left\{ \begin{matrix} 7x + 5y = 19\ \ \ \ \ | \cdot 3 \\ 4x - 3y = 5\ \ \ \ \ \ \ \ | \cdot 5 \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} 21x + 15y = 57 \\ 20x - 15y = 25 \\ \end{matrix} \right.\ ( + )\]

\[\left\{ \begin{matrix} 41x = 82\ \ \ \ \ \ \ \ \\ y = \frac{20x - 25}{15} \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} x = 2 \\ y = 1 \\ \end{matrix} \right.\ \]

\[Ответ:(2;1).\]