Question

Which statement describes the graph of the system of equations?

[x-y=1
Ly- X= 1
O
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.

Explanation:

The first line is
`x-y=1`

In slope-intercept form, this line has equation:
`y=x-1`

The second line is
`y-x=1`

In slope-intercept form, the line has equation:
`y=x+1`

The slopes of the two lines are the same (m=1)

however, the y-intercepts of these lines are different (-1) and (+1) respectively.

The first choice is correct.

The two lines are parallel and hence will never intersect.