2.5 (a) Prove that if x, y is a solution to ax+by = d, with d= gcd(a, b), then for all c Z, b x² = x + c • }, d' y = y-c₁ (2.6.1) is also a solution to ax + by = d. (b) Find two distinct solutions to 2261x + 1275y = 17. (c) Prove that all solutions are of the form (2.6.1) for some c.

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