If \(\left[\begin{array}{cc}x+y & 2 \\ 5 & x y\end{array}\right]=\left[\begin{array}{ll}6 & 2 \\ 5 & 8\e…

Given: \(\left[\begin{array}{cc}x+y & 2 \\ 5 & x y\end{array}\right]=\left[\begin{array}{ll}6 & 2 \\ 5 & 8\end{array}\right]\)

Corresponding elements must be equal,

\(x+y=6\), \(xy=8\)
Now, \(\frac{24}{x}+\frac{24}{y}=24\left(\frac{1}{x}+\frac{1}{y}\right)\)
\(=24\left(\frac{x+y}{xy}\right)\\ =24\times \frac{6}{8}\\ =18\)