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JEE Math Practice Question

If the system of equations $$ \begin{aligned} &x+y+z=6 \\ &2 x+5 y+\alpha z=\beta \\ &x+2 y+3 z=14 \end{aligned} $$ has infinitely many solutions, then $$\alpha+\beta$$ is equal to

  1. A.8
  2. B.36
  3. C.44
  4. D.48

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