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Question Id : 14253 | Context : JEE Main 2024 (31 January Morning Shift)
If the system of linear equations

$\begin{aligned} & x-2 y+z=-4 \\ & 2 x+\alpha y+3 z=5 \\ & 3 x-y+\beta z=3 \end{aligned}$

has infinitely many solutions, then $12 \alpha+13 \beta$ is equal to


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