Answer
The system of linear equations has no solution.
Work Step by Step
The given system of equations is
$x-y=1$ ...... (1)
$x-y=6$ ...... (2)
Multiply equation (1) by $-1$.
$-1(x-y)=-1(1)$
Use distributive property.
$-x+y=-1$ ...... (3)
Add equation (2) and (3).
$\Rightarrow x-y-x+y=6-1$
Add like terms.
$\Rightarrow 0=5$
The equation $0=5$ is never true.
Hence, the system of linear equations has no solution.
