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📅 April 19, 2026 👤 scraface

Apr 19, 2026

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📌 Wait — this suggests non-integer. Let's resolve with integer assumption. Try substitution.

📌 5t = 43 - 3b \Rightarrow t = \frac{43 - 3b}{5}

📌 Substitute into the second:

📌 2\left(\frac{43 - 3b}{5}\right) + 5b = 31 \Rightarrow \frac{86 - 6b}{5} + 5b = 31

📌 Multiply through by 5:

📌 - 6b + 25b = 155 \Rightarrow 19b = 69 \Rightarrow b = \frac{69}{19}

📌 This is exact. So one bead costs $ \frac{69}{19} $ gold coins. But let's double-check the original equations with integer values.

📌 Try solving again using elimination:

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