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

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

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

\[41x = 82\]

\[x = 2.\]

\[3y = 4x - 5 = 8 - 5 = 3\]

\[y = 1.\]

\[Ответ:(2;1).\]