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Find \(2 \cdot 5^{-1} + 8 \cdot 11^{-1} \pmod{56}\)

 

Express your answer as an integer from 0 to 55, inclusive.

 
 Jun 5, 2021
edited by Guest  Jun 5, 2021
 #1
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answer is \(2/5+8/11=62/55\)

 
 Jun 5, 2021
 #2
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+1

5x=56K+1

5*-11=-55   and   56*-1+1=-55

so -11 is the inverse of 5

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11p=56t+1     

11*-5=56*-1+1

so -5 is the inverse of 11

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2*-11+8*-5=  -22-40 = -62 

-62 is equiv to  112-62 = 50 (mod 56)

 

I think that is correct...

 
 Jun 6, 2021

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