\(\left\{\begin{matrix}
|x-1|+2y=5
\\
2|x-1|-3y=-4
\end{matrix}\right.\)
\( \Leftrightarrow
\left\{\begin{matrix}
2|x-1|+4y=10
\\
2|x-1|-3y=-4
\end{matrix}\right.\)
\( \Leftrightarrow
\left\{\begin{matrix}
|x-1|+2y=5
\\
7y=14
\end{matrix}\right.\)
\( \Leftrightarrow
\left\{\begin{matrix}
|x-1|=1
\\
y=2
\end{matrix}\right.\)
Vậy \(S=\{ (2;2);(0;2) \}\)
Chúc bạn học tốt!