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Math Help - Modulo Arithmetic

  1. #1
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    Modulo Arithmetic

    Hey guys. Could somebody help me please?

    i was ill the day the lecture on modulo was on and lecture notes dont make sence to me

    please help me?



    a) find a number in Z/7 which gives 1 mod 7 when multiplied by 3

    b) use the answer to (a) to solve the equation 3n=4 in Z/7


    thank you guys!


    Best Regards
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  2. #2
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    Quote Originally Posted by boomshine57th View Post
    Hey guys. Could somebody help me please?

    i was ill the day the lecture on modulo was on and lecture notes dont make sence to me

    please help me?



    a) find a number in Z/7 which gives 1 mod 7 when multiplied by 3

    b) use the answer to (a) to solve the equation 3n=4 in Z/7


    thank you guys!


    Best Regards
    a. 5 b/c 5 \cdot 3=1 \in Z/7.
    b. similar to part a.
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  3. #3
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    Quote Originally Posted by boomshine57th View Post
    Hey guys. Could somebody help me please?

    i was ill the day the lecture on modulo was on and lecture notes dont make sence to me

    please help me?



    a) find a number in Z/7 which gives 1 mod 7 when multiplied by 3
    To coin a phrase, "just DO it". What is 3*1 (mod 7)? What is 3*2 (mod 7)? What is 3*3 (mod 7)? What is 3*4 (mod 7)? What is 3*5 (mod 7)? ?What is 3*6 (mod 7)?

    b) use the answer to (a) to solve the equation 3n=4 in Z/7
    I don't see how the answer to (a) helps to solve that equation but the [b]method does: while you were calculating those, which was congruent to 4 (mod 7)?


    thank you guys!


    Best Regards
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