Solve the linear congruence 7x -= 13(mod 19)

Braxton Pugh 2021-02-19 Answered
Solve the linear congruence
7x13(mod19)
You can still ask an expert for help

Want to know more about Congruence?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

casincal
Answered 2021-02-20 Author has 82 answers
Calculation:
Since 7x13(mod19)
In order to find an inverse of a modulo m, we look for a multiple of a that exceeds multiple of m by 1.
11.7=1(mod 19)
So, 11 is the inverse of 7 modulo 19.
Multiplying both sides by 11 shows that
11.7x = 11.13(mod 19)
so, 77 = 1(mod 19) and 143 = 77(mod 19)
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions