Answer
The system of linear equations has no solution.
Work Step by Step
The given system of equations is
$-x+2y=7$ ...... (1)
$x-2y=7$ ...... (2)
Add equation (1) and (2).
$\Rightarrow -x+2y+x-2y=7+7$
Add like terms.
$\Rightarrow 0=14$
The equation $0=14$ is never true.
Hence, the system of linear equations has no solution.