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when is the world cup draw - Deep Underground Poetry

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Question: Two lines are defined by $ y = (2m - 1)x + 3 $ and $ y = (m + 2)x - 4 $. If the lines intersect at a point where the $ x $-coordinate is $ -2 $, what is the value of $ m $?

📌 Solution: Since the lines intersect at $ x = -2 $, substitute $ x = -2 $ into both equations and equate the $ y $-values:

📌 y = (2m - 1)(-2) + 3 = -2(2m - 1) + 3 = -4m + 2 + 3 = -4m + 5

📌 y = (m + 2)(-2) - 4 = -2(m + 2) - 4 = -2m - 4 - 4 = -2m - 8

📌 Solution: Evaluate each function at $ x = 3 $:

📌 f(3) + g(3) = m + (-6 + 2m) = 3m - 6

📌 Solution: Evaluate both functions at $ x = 2 $:

📌 Evaluate $E(x)$ for each module from $x = 1$ to $x = 5$:

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