1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Divisibility in arithmetic

  1. Apr 25, 2012 #1
    Chinese remainder theorem help

    1. The problem statement, all variables and given/known data

    Solve in [tex]Z^{2}:6x-5y=1[/tex]

    Conclude the solution to the system:

    X≡2(mod5) , X≡1(mod6)



    3. The attempt at a solution

    1- solved the equation and found one unique solution which was S={(1,1)}

    Given:
    X≡2(mod5) , X≡1(mod6)

    X≡2(mod5) means X=5t+2

    X≡1(mod6) means 5t+2=1(mod6) which is 5t=-1(mod6) But how can i proceed from here on?
     
    Last edited: Apr 25, 2012
  2. jcsd
  3. Apr 25, 2012 #2
    Solved it :)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Divisibility in arithmetic
  1. Modular Arithmetic (Replies: 23)

  2. Modular arithmetic (Replies: 3)

  3. Arithmetics problem (Replies: 5)

  4. Cardinal arithmetic (Replies: 39)

Loading...