Final answer:
The graph of the system of equations x - y = 1 and y - x = 1 represents two parallel lines that never intersect, indicating no solution to the system.
Step-by-step explanation:
The statement that describes the graph of the system of equations x - y = 1 and y - x = 1 relates to plotting these equations on a two-dimensional space with a horizontal axis (x-axis) and a vertical axis (y-axis).
Both equations are linear and will graph as straight lines. However, by rearranging the second equation, we can see that it becomes -x + y = 1, which is essentially the same as the first equation multiplied by -1.
Therefore, these two equations are contradictory, meaning they represent two parallel lines that never intersect.
The graph of these two lines would show two lines with the same slope but different y-intercepts, indicating that there is no solution to the system since the lines do not cross.