The number of $\theta \in (0,4\pi)$ for which the system of linear equations $3(\sin 3\theta) x - y + z = 2$ $3(\cos 2\theta) x + 4y + 3z = 3$ $6x + 7y + 7z = 9$ has no solution is (1) 6 (2) 7 (3) 8 (4) 9
The number of $\theta \in (0,4\pi)$ for which the system of linear equations\\
$3(\sin 3\theta) x - y + z = 2$\\
$3(\cos 2\theta) x + 4y + 3z = 3$\\
$6x + 7y + 7z = 9$ has no solution is\\
(1) 6\\
(2) 7\\
(3) 8\\
(4) 9