# 2007 Diophantine equation.....

Find all the positive integer solutions $$(x;y)$$ of the equation: $$xy+x=2007y+2$$.

Call $$S=x_1+y_1+x_2+y_2+.........+x_{n-1}+y_{n-1}+x_n+y_n$$ which is the value of $$S$$?

×