Ta có :
\(\left|x+5\right|+\left(3y-4\right)^{2012}=0\)
\(\Leftrightarrow\)\(\left\{{}\begin{matrix}\left|x+5\right|=0\\\left(3y-4\right)^{2012}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x+5=0\\3y-4=0\end{matrix}\right.\)
\(\Leftrightarrow\)\(\left\{{}\begin{matrix}x=-5\\3y=4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-5\\y=\dfrac{4}{3}\end{matrix}\right.\)
Vậy \(x=-5\) và \(y=\dfrac{4}{3}\)
Chúc bạn học tốt ~