\(\left\{{}\begin{matrix}x+y=80\\2x+3y=198\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}3x+3y=240\\2x+3y=198\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x+y=80\\x=240-198=42\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=42\\y=38\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x+y=80\\2x+3y=198\end{matrix}\right.\)
⇔\(\left\{{}\begin{matrix}2x+2y=160\\2x+3y=198\end{matrix}\right.\)
⇔\(\left\{{}\begin{matrix}y=38\\2x+3\cdot38=198\end{matrix}\right.\)
⇔\(\left\{{}\begin{matrix}y=38\\2x=84\end{matrix}\right.\)
⇔\(\left\{{}\begin{matrix}y=38\\x=42\end{matrix}\right.\)
Vậy (42;38) là nghiệm