離散數學›Ch1 集合與基礎數論
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12. 同餘、整除性
#LS-01-012中同餘整除性
  1. (10 points) Let a,b∈Za, b \in \mathbb{Z} and let 2a+3b2a + 3b be a multiple of 17. (For example, we could have a=7,b=1a = 7, b = 1; and a=4,b=3a = 4, b = 3 also works.) Determine whether the following statement is true or false: 17 divides 9a+5b9a + 5b.
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