40. Find all solutions to the following sets of linear equations: a. 3x + 5y = 4 (mod 5) 2x + y = 3 (mod 5) b. 3x +2y = 5 (mod 7) 4x+6y= 4 (mod 7)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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40. Find all solutions to the following sets of linear equations:
a. 3x + 5y = 4 (mod 5)
2x + y = 3 (mod 5)
b. 3x + 2y = 5 (mod 7)
4x+6y= 4 (mod 7)
c. 7x + 3y= 3 (mod 7)
4x + 2y = 5 (mod 7)
d. 2x+3y=5 (mod 8)
x+6y=3 (mod 8)
Transcribed Image Text:40. Find all solutions to the following sets of linear equations: a. 3x + 5y = 4 (mod 5) 2x + y = 3 (mod 5) b. 3x + 2y = 5 (mod 7) 4x+6y= 4 (mod 7) c. 7x + 3y= 3 (mod 7) 4x + 2y = 5 (mod 7) d. 2x+3y=5 (mod 8) x+6y=3 (mod 8)
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