Question

Solve each of these congruence19x=4(mod 141)​

Answer 1

The solution to the congruence "19x is congruent to 4 (mod 141)" is "x is congruent to 23 (mod 141)."

Step-by-step explanation:

To solve the congruence, find the modular inverse of 19 modulo 141.

Calculate the modular inverse using the Extended Euclidean Algorithm or other methods, resulting in 23.

Multiply both sides of the congruence by the modular inverse: x is congruent to 23 times 4 (mod 141).

Simplify the right side: x is congruent to 92 (mod 141).

Therefore, the solution to the congruence "19x is congruent to 4 (mod 141)" is "x is congruent to 23 (mod 141)."