Mathematics · 2022
JEE Main · 28 June 2022, Shift 2 · Q26
If the system of linear equations 2 x-3 y=γ+5, α x+5 y=β+1, where α, β, γ ∈ R has infinitely many solutions, then the value of |9 α+3 β+5 γ| is equal…
If the system of linear equations
$$2 x-3 y=\gamma+5,
$$
$\displaystyle \alpha x+5 y=\beta+1$, where $\displaystyle \alpha, \beta, \gamma \in \mathbf{R}$ has infinitely many solutions, then the value of $\displaystyle |9 \alpha+3 \beta+5 \gamma|$ is equal to \_\_\_\_.
Official answer
58
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.