jee-main 2022 Q70

jee-main · India · session2_29jul_shift2 Matrices Linear System and Inverse Existence
If the system of equations $x + y + z = 6$ $2x + 5y + \alpha z = \beta$ $x + 2y + 3z = 14$ has infinitely many solutions, then $\alpha + \beta$ is equal to
(1) 8
(2) 36
(3) 44
(4) 48
If the system of equations\\
$x + y + z = 6$\\
$2x + 5y + \alpha z = \beta$\\
$x + 2y + 3z = 14$\\
has infinitely many solutions, then $\alpha + \beta$ is equal to\\
(1) 8\\
(2) 36\\
(3) 44\\
(4) 48