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JEE Math Practice Question

If the system of linear equations $$ \begin{aligned} & 3 x+y+\beta z=3 \\ & 2 x+\alpha y-z=-3 \\ & x+2 y+z=4 \end{aligned} $$ has infinitely many solutions, then the value of $22 \beta-9 \alpha$ is :

  1. A.31
  2. B.37
  3. C.43
  4. D.49

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