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(Solved): 9. Using the modular inverse to solve the congruence: a) \( 4 x \equiv 3(\bmod 9) \) b) \( 55 x \eq ...



9. Using the modular inverse to solve the congruence: a) \( 4 x \equiv 3(\bmod 9) \) b) \( 55 x \equiv 4(\bmod 89) \).
9. Using the modular inverse to solve the congruence: a) \( 4 x \equiv 3(\bmod 9) \) b) \( 55 x \equiv 4(\bmod 89) \).


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(1) 4x?3 mod 9 As 4×7=28?1 mod 9 so, we have 4x? 3 mod 9?7×4?7×3 mod 9 so required x is 3.
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