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Home » Distance at 80 mph: 80 * 3 = 240 miles - jntua results

Distance at 80 mph: 80 * 3 = 240 miles - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solution: Let $ \mathbf{M} = \begin{pmatrix} a & b \\ c & d \end{pmatrix} $. Multiplying $ \mathbf{M} $ with $ \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} $ gives:

📌 \begin{pmatrix} a(1) + b(3) & a(2) + b(4) \\ c(1) + d(3) & c(2) + d(4) \end{pmatrix} = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}.

📌 This leads to the system:

📌 $ a + 3b = 5 $,

📌 $ 2a + 4b = 6 $,

📌 $ c + 3d = 7 $,

📌 $ 2c + 4d = 8 $.

📌 Solving equations 1 and 2: From 1, $ a = 5 - 3b $. Substituting into 2: $ 2(5 - 3b) + 4b = 6 \Rightarrow 10 - 6b + 4b = 6 \Rightarrow -2b = -4 \Rightarrow b = 2 $. Then $ a = 5 - 6 = -1 $.

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