Do I need to determine their values first?

Algebra Level 3

2a2+3b2=7ab,     0<a<b\large 2a^2 + 3b^2 = 7ab, \ \ \ \ \ 0 < a <b

If a,ba,b satisfy the conditions given above, and that a3ba+3b \frac{a-3b}{a+3b} can be expressed as qs-\frac qs for coprime positive integers q,sq,s, find q+sq+s.

This problem is not original.
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