Mathematics · 2025
JEE Main · 2 April 2025, Shift 1 · Q20
If the system of linear equations 3 x+y+β z=3; 2 x+α y-z=-3; x+2 y+z=4 has infinitely many solutions, then the value of 22 β-9 α is:
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 $\displaystyle 22 \beta-9 \alpha$ is :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 31$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.