How can I solve 7x≡5 (mod 11)?

The question also asks to use trial and error to find 7^-1 (mod 11)

2 Answers

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  • Amy
    Lv 7
    3 weeks ago

    Are you supposed to use trial and error on the first problem too?

    The numbers that equal 5 mod 11 are 5, 16, 27, ... 

    If you keep adding 11, eventually you'll reach a multiple of 7.

    7^-1 is the number that when multiplied by 7 makes 1. 

    7x ≡ 1 (mod 11)

  • 3 weeks ago

    5 mod 11 (5 base 11) = 5

    7x = 5

    x = 7/5

    7 base 11 = 7

    1/7 = 0.1428571 base 10 or 0.163163 base 11

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