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If a, b, c are non-negative integers less than 7 such that

\(\begin{align} a+2b+3c&\equiv 0\pmod 7,\\ 2a+3b+c&\equiv 4\pmod 7,\\ 3a+b+2c&\equiv 4\pmod 7 \end{align}\)

FInd the remainder when abc is divided by 7

 

 I dunno how to do this question elimination didn't work at all

 Aug 3, 2020
 #1
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Try  a = 1,   b = 2,   c =3

 Aug 3, 2020
 #2
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Thanks!

Guest Aug 3, 2020

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