[tex]\it |2x-1|\leq3 \Rightarrow -3\leq 2x-1\leq3|_{+1} \Rightarrow -2\leq 2x\leq4|_{:2} \Rightarrow -1\leq x\leq2\ \ \ \ (1)\\ \\ |3y+1|\leq2 \Rightarrow -2\leq 3y+1\leq2|_{-1} \Rightarrow -3\leq 3y\leq 1|_{:3} \Rightarrow -1\leq y\leq\dfrac{1}{3}\ \ \ \ (2)[/tex]
[tex]\it \left.\begin{aligned} \it (1) \Rightarrow -2\leq2x\leq4\\ \\ \it (2) \Rightarrow -2\leq3y\leq1 \end{aligned}\right\} \Rightarrow max(2x+3y)=4+1=5[/tex]
