jee-main 2021 Q69

jee-main · India · session3_20jul_shift2 Simultaneous equations
The value of $k \in R$, for which the following system of linear equations $3 x - y + 4 z = 3$ $x + 2 y - 3 z = - 2$ $6 x + 5 y + k z = - 3$ has infinitely many solutions, is:
(1) 3
(2) - 5
(3) 5
(4) - 3
The value of $k \in R$, for which the following system of linear equations\\
$3 x - y + 4 z = 3$\\
$x + 2 y - 3 z = - 2$\\
$6 x + 5 y + k z = - 3$\\
has infinitely many solutions, is:\\
(1) 3\\
(2) - 5\\
(3) 5\\
(4) - 3