Mathematics · 2019
JEE Main · 10 January 2019, Shift 1 · Q65
If the system of equations x+y+z=5; x+2 y+3 z=9; x+3 y+α z=β has infinitely many solutions, then β-α equals:
If the system of equations
$$\begin{aligned}
& x+y+z=5 \\
& x+2 y+3 z=9 \\
& x+3 y+\alpha z=\beta
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle \beta-\alpha$ equals :
Official answer
(3)
$\displaystyle 8$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.