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24. (a) Show that there do not exist nonnegative integers x and y such that 7=3x+5y. (b) Use induction to prove that for every integer

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24. (a) Show that there do not exist nonnegative integers x and y such that 7=3x+5y. (b) Use induction to prove that for every integer n8, there exist nonnegative integers x and y such that n=3x+5y

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