How to Solve a Modular Arithmetic Equation

[viviane363]

Homework Statement

compute 59x +15 $$\equiv$$ 6 mod 811

Homework Equations

The Attempt at a Solution

59x $$\equiv$$ -9 mod 811
I really don't know hoow to do from here.

 

[lanedance]

so i think 2 numbers a,b are equivalent in modular arthimetic, mod n, if

a-b = m*n for some integer m

in your case this translates to
59x+9 = 811.m