Ta có: \(\left|x-3\right|^{2014}\ge0;\left|6+2y\right|^{2015}\ge0\)
\(\Rightarrow\left|x-3\right|^{2014}+\left|6+2y\right|^{2015}\ge0\)
Mà theo đề: \(\left|x-3\right|^{2014}+\left|6+2y\right|^{2015}\le0\)
=> \(\left|x-3\right|^{2014}+\left|6+2y\right|^{2015}=0\)
=> \(\left|x-3\right|=\left|6+2y\right|=0\)
=> \(x-3=6+2y=0\)
=> \(x=3;y=-3\).