Giải:
Có: \(2^x=8^{y+1}\) và \(9^y=3^{x-9}\)
\(\Leftrightarrow\left\{{}\begin{matrix}2^x=2^{3y+3}\\3^{2y}=3^{x-9}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3y+3\\2y=x-9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3y+3\\y=\dfrac{x-9}{2}\end{matrix}\right.\)
\(\Leftrightarrow x+y=3y+3+\dfrac{x-9}{2}\)
Chúc bạn học tốt!