\(\left|a\right|\ge0;\left|b\right|\ge0\Rightarrow\left|a\right|+\left|b\right|\ge0\\ \left|a\right|+\left|b\right|=0\\ \Rightarrow\left\{{}\begin{matrix}\left|a\right|=0\\\left|b\right|=0\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}a=0\\b=0\end{matrix}\right.\)