Answer:
Step-by-step explanation:
The coordinates of the intersection of the line are the solution of the system of equations.
[tex]\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}[/tex]
The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).