Question

A system of two linear equations has no solution. How is this possible?

A.
It's not; the graphs of the two equations must intersect.
B.
The equations are the same line.
C.
The equations are parallel lines.
D.
There was an error in solving the system.

Answer 1

Answer: C. The equations are parallel lines.

Explanation:

Parallel lines never intersect, so there would be no solution.

Answer 2

The answer is C, the solution refers to intersections between lines, and parallel lines never intersect so in that case there would be no solution.