#1

Consider the equation \( \frac{5}{x} + \frac{7}{y} = \frac{5}{7} \) for \( x > 0 ; y > 0 \). Suppose the number of integer solution is A with the set of integer pairs \( (x_i,y_i) \) being \( (x_1,y_1),(x_2,y_2),....(x_A,y_A) \). Find \( \sum_{i=1}^{A} x_i + \sum_{i=1}^{A} y_i \).

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