If \(xy\ne 0\) and \(\sqrt{\dfrac{xy}3}=x,\) what is \(y ?\)

[M7MBA]

If \(xy\ne 0\) and \(\sqrt{\dfrac{xy}3}=x,\) what is \(y ?\)

(1) \(\dfrac{x}{y}=\dfrac13\)

(2) \(x=3\)

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT