38.7. Consider the system of congruences x = a1 (mod m1) x = a2 (mod m2) where mi and m2 are relatively prime. Let bị and bz be integers where bị = m¡ b2 = m7' in Zm2 in Zm - Hon 39 Finally, let Xo = m¡bja2 + mzbza1. Please prove that xo is a solution to the system of congruences.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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38.7. Consider the system of congruences
x = a1 (mod m1)
x = a2 (mod m2)
where mi and m2 are relatively prime. Let bị and bz be integers where
bị = m¡
b2 = m7'
in Zm2
in Zm -
Hon 39
Finally, let
Xo = m¡bja2 + mzbza1.
Please prove that xo is a solution to the system of congruences.
Transcribed Image Text:38.7. Consider the system of congruences x = a1 (mod m1) x = a2 (mod m2) where mi and m2 are relatively prime. Let bị and bz be integers where bị = m¡ b2 = m7' in Zm2 in Zm - Hon 39 Finally, let Xo = m¡bja2 + mzbza1. Please prove that xo is a solution to the system of congruences.
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