a) Ta có: \(\left|x-1\right|\ge0\forall x\in Z\)
\(\left|y+2\right|\ge0\forall x\in Z\)
\(\Rightarrow\left|x-1\right|+\left|y+2\right|\ge0\forall x\in Z\)
Dấu "=" xảy ra khi \(\left|x-1\right|=0;\left|y+2\right|=0\)
Với \(\left|x-1\right|=0\)
\(\Rightarrow x-1=0\Rightarrow x=1\)
Với \(\left|y+2\right|=0\)
\(\Rightarrow y+2=0\Rightarrow y=-2\)
Vậy \(\left[\begin{matrix}x=1\\y=-2\end{matrix}\right.\)