Mathematics · 2013
JEE Main · 22 April 2013, Shift 1 · Q62
If the system of linear equations x_1+2 x_2+3 x_3=6; x_1+3 x_2+5 x_3=9; 2 x_1+5 x_2+a x_3=b is consistent and has infinite number of solutions, then:
If the system of linear equations
$$\begin{aligned}
& x_1+2 x_2+3 x_3=6 \\
& x_1+3 x_2+5 x_3=9 \\
& 2 x_1+5 x_2+a x_3=b
\end{aligned}
$$
is consistent and has infinite number of solutions, then :
Official answer
(4)
$\displaystyle a=8, b=15$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.