Answer
The system of linear equations has infinitely many solutions.
Work Step by Step
The given system of equations is
$3x-y=6$ ...... (1)
$-3x+y=-6$ ...... (2)
Add equation (1) and (2).
$\Rightarrow 3x-y-3x+y=6-6$
Add like terms.
$\Rightarrow 0=0$
The equation $0=0$ is always true.
Hence, the system of linear equations has infinitely many solutions.
