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Home » Multiply the second equation by 3: \( 12x - 3y = 15 \). - Silent Sales Machine

Multiply the second equation by 3: \( 12x - 3y = 15 \). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 $2730 \cdot 109 = 2730 \cdot 100 = 273000$, $2730 \cdot 9 = 24570$, total = $297,570$

📌 Can we do better? Try including $17$? Suppose $1, 2, 3, 5, 17, 19, 92$: sum = $1+2+3+5+17+19+92 = 140$

📌 LCM includes $2^2$, $3$, $5$, $17$, $19$, $92 = 4 \cdot 23$, so $23$ introduced.

📌 LCM = $ \text{LCM}(4,3,5,17,19,23) = 4 \cdot 3 \cdot 5 \cdot 17 \cdot 19 \cdot 23 $

📌 $4 \cdot 3 = 12$

📌 $12 \cdot 5 = 60$

📌 $60 \cdot 17 = 1020$

📌 $1020 \cdot 19 = 19380$

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