How to Solve a Modular Arithmetic Equation

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viviane363
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Homework Statement



compute 59x +15 [tex]\equiv[/tex] 6 mod 811

Homework Equations





The Attempt at a Solution



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