If the system of equations $2x-y+z=4\ 5x+\lambda y+3z=12\ 100x-47y+\mu z=212$ has infinitely many solutions, then $\mu -2\lambda$ is equal to [JEE Main 2025, 24 Jan (Shift 1)]

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If the system of equations \(2x-y+z=4\\ 5x+\lambda y+3z=12\\ 100x-47y+\mu z=212\) has infinitely many solutions, then \(…

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