Determine if the system of linear congruences x = 3 (mod 8) x= 3 (mod 17) x 4 (mod 11) has a solution or not. If it has a solution, enter the least nonnegative integer value of a satisfying the system. If it does not have a solution, enter -999. Type your answer...

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 56EQ
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Need help with this Difficult Introto Elementary Number Theory Homework problem.

 

Determine if the system of linear congruences
(mod 8)
(mod 17)
(mod 11)
has a solution or not. If it has a solution, enter the least nonnegative integer value of a satisfying the system. If it does not have a solution, enter -999.
Type your answer...
x = 3
x = 3
x 4
Transcribed Image Text:Determine if the system of linear congruences (mod 8) (mod 17) (mod 11) has a solution or not. If it has a solution, enter the least nonnegative integer value of a satisfying the system. If it does not have a solution, enter -999. Type your answer... x = 3 x = 3 x 4
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