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Home » Then \( 150 - x \) units of Product B were sold. - go-checkin.com

Then \( 150 - x \) units of Product B were sold. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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: \( 35 \equiv 8 \mod 9 \), \( 18 \equiv 0 \mod 9 \), so:

📌 8b \equiv 2 \pmod{9}

📌 Multiply both sides by the inverse of 8 modulo 9. Since \( 8 \cdot 8 = 64 \equiv 1 \mod 9 \), inverse is 8:

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