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

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

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

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

\[Ответ:(2;1).\]