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10. Prove that there is no solution to 22 ā 4y = 2 where x and y are integers. [3 marks]
[3 marks) 5. Determine all integers 2 and y such that ā¢ 6x +10y = 14, and ā¢ 2 =3 (mod 7), and ā¢ 20 < y < 40.
14. Let a and b be coprime positive integers. Prove that {(s, t) ENN :as + bt = ab} = 0. [3 marks]
