Tuesday, 15 March 2016

elementary number theory - Chinese Remainder Theorem and linear congruences

I have found the following congruences:




  1. x \equiv 2\mod 5

  2. x \equiv 12\mod27

  3. x \equiv 2\mod4



How can I solve for x using the Chinese Remainder Theorem? Please include justifications for the steps you take.




How can I find x?

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