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Home » Now substitute \( x = \frac43 \) back into the first equation to find \( y \): - jntua results

Now substitute \( x = \frac43 \) back into the first equation to find \( y \): - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \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}

📌 Question: An archaeologist finds the equation $ 4(x + 3) - 2x = 3(2x - 1) $ in an ancient tablet. Solve for $ x $.

📌 Solution: Expand both sides:

📌 4x + 12 - 2x = 6x - 3 \implies 2x + 12 = 6x - 3

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