Mathematics · 2022
JEE Main · 29 June 2022, Shift 1 · Q7
If the system of linear equations 2 x+y-z=7; x-3 y+2 z=1; x+4 y+δ z= k, where δ, k ∈ R has infinitely many solutions, then δ+ k is equal to:
If the system of linear equations
$$\begin{aligned}
& 2 x+y-z=7 \\
& x-3 y+2 z=1 \\
& x+4 y+\delta z=\mathrm{k}, \text { where } \delta, \mathrm{k} \in \mathbf{R}
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle \delta+\mathrm{k}$ is equal to :
Official answer
(2)
$\displaystyle 3$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.