A lucky angle

Let there be an angle $\theta$ such that $\theta$ ranges from 0 degree to 90 degrees and such that $\sin \theta = \frac{\sqrt{xy-y}}{x}$ , $\cos \theta = \frac{\sqrt{6xy + 9y}}{xy}$ an $\tan \theta = \frac{x\sqrt{21x + 17y}}{22y - 1}$ . Find the value of $x +y$ .