A lucky angle

Level pending

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 \(x +y\).

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