\(Vì\left|x-1\right|=\left|1-x\right|và\left|a\right|+\left|b\right|\ge\left|a+b\right|;\left|a\right|\ge0\\ VP=\left(\left|x-4\right|+\left|1-x\right|\right)+\left|x-2\right|+\left|y-3\right|\ge\left|x-4+1-x\right|+0+0=3=VP\\ Dấu"="xảyrakhix-2=0\Rightarrow x=2thỏamản1< \backslash2< \backslash4\\ vày-3=0\Rightarrow y=0\\ Vậyx=2;y=3\)