\(\left|x-2y\right|+\left|y-2005\right|=0\)
\(\Rightarrow\left|x-2y\right|=0\) và \(\left|y-2005\right|=0\)
+) \(\left|y-2005\right|=0\Rightarrow y-2005=0\Rightarrow y=2005\)
+) \(x-2y=0\Rightarrow x=2y\Rightarrow x=2.2005=4010\)
Vậy \(x=4010;y=2005\)