2x + 4y = 32.00
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- 5Question: A soil microbiologist purchases 5 units of bacterial culture X and 3 units of fungus Y for \$45.00, and 2 units of X and 4 units of Y for \$32.00. What is the cost of one unit of X in cents?
- Solution: Let $ x $ be the cost of one unit of X (in dollars) and $ y $ be the cost of one unit of Y (in dollars). The system of equations is:
- 5x + 3y = 45.00 \\
- Multiply the first equation by 4 and the second by 3 to eliminate $ y $:
- 20x + 12y = 180.00 \\
- 6x + 12y = 96.00
