Answer
The system of linear equations has no solution.
Work Step by Step
The given system of equations is
$y=-6x-8$ ...... (1)
$y=-6x+8$ ...... (2)
Multiply equation (1) by $-1$.
$\Rightarrow -1(y)=-1(-6x-8)$
Use distributive property.
$\Rightarrow -y=6x+8$ ...... (3)
Add equation (2) and (3).
$\Rightarrow y-y=-6x+8+6x+8$
Add like terms.
$\Rightarrow 0=16$
The equation $0=16$ is never true.
Hence, the system of linear equations has no solution.