Mathematics · 2022
JEE Main · 26 June 2022, Shift 2 · Q2
If the system of equations α x+y+z=5, x+2 y+3 z=4, x+3 y+5 z=β has infinitely many solutions, then the ordered pair (α, β) is equal to:
If the system of equations
$$\alpha x+y+z=5, x+2 y+3 z=4, x+3 y+5 z=\beta
$$
has infinitely many solutions, then the ordered pair $\displaystyle (\alpha, \beta)$ is equal to :
Official answer
(3)
$\displaystyle (1,3)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.