Ta có: \(\left\{\begin{matrix}\left|5x-2\right|\ge0\\\left|3y+1\right|\ge0\end{matrix}\right.\Leftrightarrow\left\{\begin{matrix}-\left|5x-2\right|\le0\\-\left|3y+1\right|\le0\end{matrix}\right.\)
Ta có: \(C=4-\left|5x-2\right|-\left|3y+1\right|\le4+0+0=4\)
Vậy GTLN là C = 4 khi x = \(\frac{2}{5}\), y = \(\frac{-1}{3}\)