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Math Help - Is this correct?

  1. #1
    Super Member
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    Feb 2008
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    535

    Is this correct?

    Solve 3x + 3 = x + 5 mod 11 (= is congruence not equality...)

    (3x - x) = (5 - 3) mod 11
    2x = 2 mod 11
    2x = 13 mod 11
    x = 13/2 mod 11

    Is this correct?
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  2. #2
    Newbie
    Joined
    Feb 2010
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    No. To be able to divide by an element a (2 in this example) you need to find a^{-1} such that a\times a^{-1}=1. If the inverse does not exist, you cannot "divide" by a.

    so in your example, a=2 and a^{-1}=6 ...
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