Common Solutions for Congruences
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Find all common solutions to the congruences
(in the following notations the = is meant to be a congruence symbol)
x=2(mod 3), x=1(mod 4), x=3(mod 5), x=4(mod 7).
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Solution Summary
This shows how to use Chinese remainder theorem to find solutions to congruences.
Solution Preview
Proof:
We can use the Chinese remainder Theorem.
3, 4, 5, 7 are relatively prime to each other.
Let m=3*4*5*7=420
M1=420/3=140, ...
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