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I was having some problem when trying to calculate for modular.

So I got 9 = (10+b) mod 23. What should I do to get the b?

Thanks in advanced!

QWERTY
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1 Answers1

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$$9=10+b\mod23\\-1=b\mod 23\\b=22+23k\\k\in\mathbb{Z}$$

76david76
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  • Hello do you mind to explain a little bit more on the third step? I got confused when shifting over the modular – QWERTY Mar 01 '17 at 08:23
  • @DeniseTan The solution is actually $b=-1\mod 23$, and the solutions are all numbers that are 22 more then a number that is divisible by 23. – 76david76 Mar 01 '17 at 08:27