Mathematics · 2021
JEE Main · 27 July 2021, Shift 1 · Q87
For real numbers α and β, consider the following system of linear equations: x+y-z=2, x+2 y+α z=1,2 x-y+z=β. If the system has infinite solutions,…
For real numbers $\displaystyle \alpha$ and $\displaystyle \beta$, 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 $\displaystyle \alpha+\beta$ is equal to \_\_\_\_.
Official answer
5
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.