\(\left|x+\frac{19}{5}\right|+\left|y+\frac{1890}{1979}\right|+\left|z-2007\right|=0\)
\(\Rightarrow\hept{\begin{cases}\left|x+\frac{19}{5}\right|=0\\\left|y+\frac{1890}{1979}\right|=0\\\left|z-2007\right|=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x+\frac{19}{5}=0\\y+\frac{1890}{1979}=0\\z-2007=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=\frac{-19}{5}\\y=\frac{-1890}{1979}\\z=2007\end{cases}}\)