The number of values of $\alpha$ for which the system of equations $x + y + z = \alpha$ $\alpha x + 2 \alpha y + 3 z = - 1$ $x + 3 \alpha y + 5 z = 4$ is inconsistent, is (1) 0 (2) 1 (3) 2 (4) 3
The number of values of $\alpha$ for which the system of equations\\
$x + y + z = \alpha$\\
$\alpha x + 2 \alpha y + 3 z = - 1$\\
$x + 3 \alpha y + 5 z = 4$\\
is inconsistent, is\\
(1) 0\\
(2) 1\\
(3) 2\\
(4) 3