Solve the system {1x+1y=32x−1y=0\begin{cases} \dfrac{1}{x} + \dfrac{1}{y} = 3 \\ \dfrac{2}{x} - \dfrac{1}{y} = 0 \end{cases}⎩⎨⎧x1+y1=3x2−y1=0. What is the product xyxyxy?
12\dfrac{1}{2}21
222
111
13\dfrac{1}{3}31