# Do I need to determine their values first?

Algebra Level 3

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

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

×