Vì \(\left|3x-4\right|\ge0;\left|5y+5\right|\ge0\)
\(\Rightarrow\left|3x-4\right|+\left|5y+5\right|\ge0\)
Dấu "=" xảy ra khi \(\hept{\begin{cases}\left|3x-4\right|=0\\\left|5y+5\right|=0\end{cases}\Rightarrow\hept{\begin{cases}3x=4\\5y=-5\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{4}{3}\\y=-1\end{cases}}}\)