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3. Find all solutions of the system of congruences (mod 12), (mod 10). x = 5 x = 8

3. Find all solutions of the system of congruences (mod 12), (mod 10). x = 5 x = 8

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 3: System of Congruences** **Objective:** Find all solutions of the following system of congruences: \[ x \equiv 5 \, (\text{mod} \, 12), \] \[ x \equiv 8 \, (\text{mod} \, 10). \] **Instructions:** Determine values of \( x \) that satisfy both congruences simultaneously. *Note: The bottom part of the image contains unrelated text that has been obscured and is not relevant to this problem.*
Transcribed Image Text:**Problem 3: System of Congruences** **Objective:** Find all solutions of the following system of congruences: \[ x \equiv 5 \, (\text{mod} \, 12), \] \[ x \equiv 8 \, (\text{mod} \, 10). \] **Instructions:** Determine values of \( x \) that satisfy both congruences simultaneously. *Note: The bottom part of the image contains unrelated text that has been obscured and is not relevant to this problem.*
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