\[\left\{ \begin{matrix} 2x - 5y = 12 \\ 4x + 5y = 24 \\ \end{matrix} + \right.\ \text{\ \ \ \ }\]
\[\left\{ \begin{matrix} 6x = 36\ \ \ \ \ \ \ \\ y = \frac{24 - 4x}{5} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} x = 6 \\ y = 0 \\ \end{matrix} \right.\ \]
\[Ответ:(6;0).\]