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Home » x + y = 1, \quad x + z = 1 \Rightarrow y = z - Sterling Industries

x + y = 1, \quad x + z = 1 \Rightarrow y = z - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 Subtract the second equation from the first:

📌 14x = 84.00 \implies x = 6.00 \text{ dollars}

📌 Convert to cents: $ 6.00 \times 100 = 600 $ cents.

📌 \boxed{600}

📌 Question: A cartographer notes that 3.2 cm on a map corresponds to 16 km in reality, and 5.8 cm corresponds to $ x $ km. What is the value of $ x $?

📌 Solution: The scale is $ \frac{3.2 \text{ cm}}{16 \text{ km}} = \frac{0.2 \text{ cm}}{1 \text{ km}} $. Using this scale:

📌 \frac{5.8 \text{ cm}}{x \text{ km}} = \frac{0.2 \text{ cm}}{1 \text{ km}} \implies x = \frac{5.8}{0.2} = 29 \text{ km}

📌 \boxed{29}

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