$\left \{ {{\frac{1}{2x}-3y=-3} \atop {\frac{1}{3x}+y=2}} \right.$
<=> $\left \{ {{\frac{1}{2x}-3y=-3} \atop {\frac{3}{3x}+3y=6}} \right.$
<=> $\left \{ {{\frac{1}{2x}-3y=-3} \atop {\frac{3}{2x}=2}} \right.$ ;
<=> $\left \{ {{\frac{1}{2x}-3y=-3} \atop {x=\frac{3}{4}}} \right.$ ;
=> y=1