Saturday, 15 October 2016

number theory - Write a single congruence?


Write a single congruence that is equivalent to the pair of congruences:



x1(mod4) and x2(mod3).




I am new to Number Theory/ Modular Arithmetic. Just started reading the theory from a book yesterday. Earlier I had read about it a little on the internet. I know the basic definitions and some properties. I do not understand the question properly. What does writing a single congruence mean? Does it mean I have to find x? How do I solve this question. Do I need to use any theorem like the Chinese Remainder Theorem or something else? I am stuck. Please help.

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