Question

If a pair of linear equations is consistent, then the lines representing them are either ______ or ______.

Answer 1

If a pair of linear equations is consistent, then the lines representing them are either intersecting or coincident.

Explanation:

“Consistent” means there is at least one solution, either exactly one solution when the lines intersect at a single point (intersecting) or infinitely many solutions when the lines lie on top of each other (coincident).