Question

Which statement describes the graph of the system of equations?

x-y=1
y-x=1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).

Answer 1

The lines are parallel.

Reason: x - y = 1 ⇒ y = x - 1 and y - x = 1 ⇒ y = x + 1. Both have slope 1 but different y-intercepts, so they are distinct parallel lines (no solution).