Anonymous

2

Anonymous

x = 7n + 3 for some n 3x = 3(7n + 3) = 3(7n) + 9 = 3(7n) + 7 + 2 = 7(3n + 1) + 2 remainder is 2

Anonymous

x = 7k + 3, so 3x = 21k + 9 = 7(3k + 1) + 2. The remainder is 2.

Anonymous

x/7 = n + 3/7 3x/7 = 3n+9/7 = (3n+1) + 2/7 Remainder = 2 [Check e.g x = 45 45/7 = 6 + Remainder 3 135/7 = 19 + Remainder 2] Answer 2

Anonymous

Didn't you already ask this? Here's a quick way to figure it out. Your original remainder was 3. If you triple that (9) and take the remainder after dividing by 7 you get 2. Answer: 2

Anonymous

Saying that the whole number x leaves a remainder of 3 when divided by 7 means that x = 7n + 3 for some whole number n, so 3x = 3·(7n+3) = 21n + 9 = 7·(3n+1) + 2. So the remainder when 3x is divided by 7 is 2.

Anonymous

Lol