Question

Which statement is correct about the system of linear equations graphed below?

On a coordinate plane, 2 lines are parallel to each other.
The system of equations has one solution because the lines will eventually intersect.
The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
The system of equations does not have one solution because the lines will never intersect.

Answer 1

D: The system of equations does not have one solution because the lines will never intersect.

Explanation:

Answer 2

The system of equations does not have one solution because the lines will never intersect.

Explanation:

Parallel line will not intersect, so there is no point common to both lines. In order for a point to be a solution, it must lie on both lines. If the lines do not intersect, there can be no solution.

The system of equations does not have one solution because the lines will never intersect.