Solutions for a system of congruence equations {x≡7(mod 15), x≡14(mod 33)

dannigurl21ck2

dannigurl21ck2

Answered question

2022-11-08

Solutions for a system of congruence equations
{ x 7 ( mod 15 ) x 14 ( mod 33 )

Answer & Explanation

Raven Hawkins

Raven Hawkins

Beginner2022-11-09Added 19 answers

Consider
x a ( m o d n )
x a ( m o d m )
Then the above has a solution only if g c d ( m , n ) divides g c d ( a , b ). Here g c d ( 15 , 33 ) = 3 and g c d ( 7 , 14 ) = 7. Here the given equation has no solution
kemecryncqe9

kemecryncqe9

Beginner2022-11-10Added 6 answers

what is the value of x modulo 3?

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