For real numbers $\alpha$ and $\beta$, consider the following system of linear equations:
$x+y-z=2, x+2 y+\alpha z=1,2 x-y+z=\beta$. If the system has infinite solutions, then $\alpha+\beta$ is equal to $.....$
For real numbers $\alpha$ and $\beta$, consider the following system of linear equations:
$x+y-z=2, x+2 y+\alpha z=1,2 x-y+z=\beta$. If the system has infinite solutions, then $\alpha+\beta$ is equal to $.....$
- [JEE MAIN 2021]
- A
$4$
- B
$5$
- C
$6$
- D
$7$
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- [JEE MAIN 2024]