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QUESTION
Suppose that gcd(a, b) = 1 with a, b 0, and let x0, y0 be any integer solution to the equationax + by = c.
Suppose that gcd(a, b) = 1 with a, b > 0, and let x0, y0 be any integer solution to the equationax + by = c. Find a NECESSARY AND SUFFICIENT condition, possibly depending on a, b, c, x0, y0 thatthe equation have a solution with x > 0 and y > 0
