Question

Find all replacements (less than the modulus. for the question mark that make the statement true. 7 + ? ≡ 3 (mod 8)

Answer 1

what they mean by less than modulus ? less than 8 maybe ha?

Answer 2

Lol maybe you don't understand this type of math?

Answer 3

maybe...

Answer 4

but i wanna learn it...what they mean by that...

Answer 5

Well im not to good in this, that's why im asking the question.

Answer 6

another way to write 3 mod8 is: 8n + 3

Answer 7

n is 7 im supposing?

Answer 8

n is usually just a placeholder of an integer value in this case

7 + x = 8n + 3

x = 8n + 3 - 7

x = 8n - 4

Answer 9

if you run thru your 8s times tables, and add 3 to each one; you get the set of 3 mod8

Answer 10

-4 -3 -2 -1
0 1 2 3 4 5 6 7 8

it looks like this setup is the same as saying

x = 8x + 5 ; or x = 5 mod8

Answer 11

i almost typed that out without a mistake :)

Answer 12

Nice, thanks.

Answer 13

youre welcome

but as the first poster said, it not clear with the "less than the modulus" actually means.

If i were to take a gander; it would prolly define the setup

x = 8n + 5 such that n < 1