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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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🔥 Popular Posts

Let \( k = 5a + 3 $. Substitute into the second:
5a + 3 \equiv 4 \pmod{7} \implies 5a \equiv 1 \pmod{7}
Multiply both sides by the modular inverse of 5 modulo 7. Since \( 5 \...
a \equiv 3 \cdot 1 = 3 \pmod{7} \implies a = 7b + 3
k = 5(7b + 3) + 3 = 35b + 15 + 3 = 35b + 18
So \( k \equiv 18 \pmod{35} \)
Now include the third congruence: \( k \equiv 2 \pmod{9} \)
Let \( k = 35b + 18 \). Then:
35b + 18 \equiv 2 \pmod{9}
Reduce modulo 9: \( 35 \equiv 8 \mod 9 \), \( 18 \equiv 0 \mod 9 \), s...

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