\(\left\{{}\begin{matrix}x+y=180\\\dfrac{1}{5}x-\dfrac{1}{8}y=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{5}x+\dfrac{1}{5}y=36\\\dfrac{1}{5}x-\dfrac{1}{8}y=10\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{13}{40}y=26\\x+y=180\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=80\\x=100\end{matrix}\right.\)