If $11n$ leaves a remainder of 6 when divided by 7, what is the remainder when $5n$ is divided 7?
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5Sounds like a good homework problem, what are your thoughts? – lulu Sep 26 '17 at 20:41
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Voting to close. What is the point of asking other people to do your homework for you? – lulu Sep 26 '17 at 20:59
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$$\begin{array}{rcll} 11n &\equiv& 6 &\pmod 7 \\ 4n &\equiv& 6 &\pmod 7 \\ 3(4n) &\equiv& 3(6) &\pmod 7 \\ 12n &\equiv& 4 &\pmod 7 \\ 5n &\equiv& 4 &\pmod 7 \\ \end{array}$$
Kenny Lau
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Can you explain further sir. We dont have modular arithmetic in grade 8 – user484792 Sep 27 '17 at 21:42