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Exercise 4.9.29: Solve the following systems of congruences, or state that there is no solution. Be...

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Advance Math

Exercise 4.9.29: Solve the following systems of congruences, orstate that there is no solution. Be sure to state if there aremultiple solutions.

a. {6 = 13a + b(mod 26), 13 = 4a + b(mod 26)

b. {14 = 17a + b(mod 26), 8 = 7a + b(mod 26)

c. {1 = 15a + b(mod 26), 10 = 9a + b(mod 26)

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SolutionGiven thata13a b 6 mod 264a b 13 mod 26 113a b 4a b 6 13 mod 269a 7 26 mod 26 57 5 mod 26now 45 b    See Answer
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