Vì x<y<0 suy ra \(\begin{cases}\left|x\right|< 0\Rightarrow x=-x\\\left|y\right|< 0\Rightarrow y=-y\end{cases}\)
\(\Rightarrow\left|x\right|-\left|y\right|=100\Leftrightarrow\left(-x\right)-\left(-y\right)=100\)
\(\Rightarrow-x+y=100\Rightarrow-\left(x-y\right)=100\Rightarrow x-y=-100\)