1. Find all z € Z satisfying each of the following equations. (a) 3r = 2 (mod 7) (d) 9r = 3 (mod 5) (b) 5x +1 = 13 (mod 23) (c) 5x +1 = 13 (mod 26) (e) 5x =1 (mod 6) (f) 3r =1 (mod 6)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Find all æ € Z satisfying each of the following equations.
(a) 3r = 2 (mod 7)
(d) 9x = 3 (mod 5)
(b) 5x +1 = 13 (mod 23)
(c) 5x +1= 13 (mod 26)
(e) 5x = 1 (mod 6)
(f) 3x = 1 (mod 6)
Transcribed Image Text:1. Find all æ € Z satisfying each of the following equations. (a) 3r = 2 (mod 7) (d) 9x = 3 (mod 5) (b) 5x +1 = 13 (mod 23) (c) 5x +1= 13 (mod 26) (e) 5x = 1 (mod 6) (f) 3x = 1 (mod 6)
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