Question

5x ≡ 4(mod3)

Answer 1

Not sure how I would solve for x.

Answer 2

Do you have any other congruence?

Answer 3

No

Answer 4

\(5x ≡ 4\pmod 3 \implies 3|( 5x-4) \implies x = 5 ,17,\cdots\)

Answer 5

I just started this course, so I'm not yet totally familiar with all the symbols. | means 3 is divisible by (5x-4) doesn't it? I thought that was just a statement. How did you get 5 and 17?

Thanks

Answer 6

a|b means a divides b.

Answer 7

or b is divisible by a

Answer 8

and I checked few values of x ...

Answer 9

Is there a way to set up an equation here? We have learned Fermat's little theorem in congruence notation and Wilson's theorem as well. Does it have something to do with those?

Answer 10

I don't think so, if you had multiple congruences then I would suggest Chinese remainder theorem.

Answer 11

Alright, thank you.

Answer 12

Glad to help :)