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Mathematics

OpenStudy (anonymous):

5x ≡ 4(mod3)

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OpenStudy (anonymous):

Not sure how I would solve for x.

OpenStudy (anonymous):

Do you have any other congruence?

OpenStudy (anonymous):

No

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

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OpenStudy (anonymous):

a|b means a divides b.

OpenStudy (anonymous):

or b is divisible by a

OpenStudy (anonymous):

and I checked few values of x ...

OpenStudy (anonymous):

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?

OpenStudy (anonymous):

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

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OpenStudy (anonymous):

Alright, thank you.

OpenStudy (anonymous):

Glad to help :)

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