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Home » We need to solve for \( t \) in the inequality: - Red Crowns

We need to solve for \( t \) in the inequality: - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Two proposed transit routes are modeled by the lines \( 3x - 4y = 12 \) and \( 2x + 5y = 10 \). Find their intersection point.

📌 3x - 4y = 12 \quad \text{(1)}\\

📌 2x + 5y = 10 \quad \text{(2)}

📌 Use elimination. Multiply equation (1) by 5 and equation (2) by 4:

📌 15x - 20y &= 60 \quad \text{(from (1))\times 5} \\

📌 8x + 20y &= 40 \quad \text{(from (2))\times 4}

📌 \end{aligned}

📌 Add the equations:

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