Monday 26 October 2015

elementary number theory - Find solutions of linear congruences: $xequiv 0 pmod 2$ , $xequiv 0 pmod 3$, $xequiv 1 pmod5$, $xequiv 6 pmod7$


$x\equiv 0 \pmod 2$
$x\equiv 0 \pmod 3$
$x\equiv 1 \pmod5$
$x\equiv 6 \pmod7$
Find all the solutions of each of the following systems of linear congruences.




I know how to find solutions of three congruence equations, but
I don't know how to solve the 4 equations system...
I can't find it in my text book but it is in exercise sample... help me pls.

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