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Answer:
-1 is the inverse of 16 modulo 17.
Step-by-step explanation:
To find : An inverse of 16 modulo 17 i.e. ?
Solution :
First we find the GCD of (17,16) using Euclid's algorithm,
Remainder is 1.
Which means, GCD(17,16)=1
Using back substitution we get,
i.e. -1 is the inverse of 16 modulo 17.
On comparing with
The value of x=-1.