Đáp án:
$\begin{array}{l}
\left\{ \begin{array}{l}
x + \left| {y - 2} \right| = 2\\
2x - y = 3
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x + \left| {y - 2} \right| = 2\\
y = 2x - 3
\end{array} \right.\\
\Rightarrow x + \left| {2x - 3 - 2} \right| = 2\\
\Rightarrow \left| {2x - 5} \right| = 2 - x\left( {dk:2 - x \ge 0 \Rightarrow x \le 2} \right)\\
\Rightarrow \left[ \begin{array}{l}
2x - 5 = 2 - x\\
2x - 5 = x - 2
\end{array} \right.\\
\Rightarrow \left[ \begin{array}{l}
x = \frac{7}{3}\left( {ktm} \right)\\
x = 3\left( {ktm} \right)
\end{array} \right.
\end{array}$
Vậy hệ pt vô nghiệm.