Let gcd (a, m) = 1then the solution ofthe linear congruenceах %3Db (тod т)x = ap)-1 b (mod p)x = a®(m)-1 b (mod m)x = ab(m)-1 (mod m)x = a0(m) b (mod p)

Introduction: The greatest common divisor of two integers is an integer that divides both of the…

Answered: Let gcd (a,m) = 1 then the solution of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 54E

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Let gcd (a,m) = 1 then the solution of the linear congruence ax = b (mod m) x = a(p)-¹b (mod p) x = a(m)-¹b (mod m) x = a(m)-1 (mod m) x = a(m) b (mod p)