When solving a system by elimination and both variables cancel, leaving $0 = 7$, what does this tell you about the system?

The system has exactly one solution

The system has infinitely many solutions

The system needs a different method

When both variables are eliminated during elimination by multiplication and the result is a true statement, what geometric relationship do the two lines have?

They are perpendicular and intersect once

They are parallel and never intersect

They are the same line and overlap completely

They intersect at the origin only