5t + 3b = 43 \\
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- Question: An anthropologist studying trade records from an ancient civilization finds that the price of five identical obsidian tools and three carved stone beads equals 43 gold coins, while the price of two tools and five beads equals 31 gold coins. How many gold coins does one bead cost?
- Solution: Let $ t $ be the price of one tool and $ b $ be the price of one bead.
- From the problem, we form the following system:
- 2t + 5b = 31
- We solve this using elimination. Multiply the first equation by 2 and the second by 5:
- 10t + 6b = 86 \\
