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3x+2y=xy\large 3x + 2y = xy 3x+2y=xy
Let (x1,y1),(x2,y2),…,(xn,yn)(x_1,y_1), (x_2,y_2), \ldots, (x_n,y_n)(x1,y1),(x2,y2),…,(xn,yn) be all the pairs of positive integer roots (x,y)(x,y) (x,y) that satisfy the equation above.
Find (x1+x2+⋯+xn)+(y1+y2+⋯+yn) (x_1 + x_2 + \cdots +x_n) + (y_1 + y_2 + \cdots + y_n) (x1+x2+⋯+xn)+(y1+y2+⋯+yn).
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