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JEE Math Practice Question

If the system of equations $$\begin{aligned} & 2 x-y+z=4 \\ & 5 x+\lambda y+3 z=12 \\ & 100 x-47 y+\mu z=212 \end{aligned}$$ has infinitely many solutions, then $\mu-2 \lambda$ is equal to

  1. A.56
  2. B.59
  3. C.57
  4. D.55

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