Find all replacements (less than the modulus) for the question mark that make the statement true.
-7 ∙ ? ≡ 8 (mod 9)
A) 8
B) 5
C) 2, 6, 7
D)1, 3

Name: Find all replacements (less than the modulus) for the question mark that make the statement true. -7 ∙ ? ≡ 8 (mod 9) A) 8 B) 5 C) 2, 6, 7 D)1, 3
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Question

Quizplus · Accepted Answer

The multiplicative inverse of 7 modulo 9 is 4, since 7 * 4 ≡ 1 (mod 9). Multiplying both sides of the equation 7 * ? ≡ 8 (mod 9) by 4 gives ? ≡ 32 ≡ 5 (mod 9).

Find All Replacements (Less Than the Modulus) for the Question