Question

[[Congruence]] How to solve for n. 5n≅4 (mod 3) and 8n≅3(mod 4) ??

Answer 1

≅ this stuff is 'three short dashed lines'.

Answer 2

when 8n divide by 4 give remainder 0 !!!

Answer 3

its impossible to have 8n≅3(mod 4)

Answer 4

how i understand this:
5n≅4 (mod 3)
solve for 4(mod 3) first

4(mod 3) = 1 because 4 divided by 3 has remainder 1

5n≅1
divide both sides by 5

n≅1/5

Answer 5

@lyy1992
am i right?

Answer 6

i guess there is no solution for this one 5n≅4 (mod 3) since the value of 5n(mod 3) are just 0,2,and 1. as well as 8n≅3(mod 4), the value of 8n(mod 4) is just 0. am i right? kinda confused...

Answer 7

ur right~ @mukushla

Answer 8

5n≅2n≅0,1,2 (mod 3) also impossible
so ther is no solution for n

Answer 9

and yes u r right