Question

Find a solution of the equation [10][x]=[6] in Z12

Answer 1

that notation is new to me
is it \(10x\equiv [6]\)

Answer 2

This is equivalent to the linear congruence \(10x \equiv 6\;(mod\;12)\)

Answer 3

Does 10 have a multiplicative inverse in \(Z_{12}\)

Answer 4

In my book it is written exactly how I wrote it but Z has the small 12

Answer 5

That's fine. Now, answer the question about the multiplicative inverse.

Answer 6

Yes.

Answer 7

What is it? Does that help solve the problem?

Sorry, gtg.

Answer 8

No.

Answer 9

it is easy.

Answer 10

Explain...

Answer 11

Maintain

Answer 12

What.

Answer 13

Have you tried 3 and 9? There's only 12 elements. Try them out. We will need more cerebral methods for \(Z_{975}\).

Please state the multiplicative inverse of 10 in \(Z_{12}\). Are you SURE there is one?