Question

When solving a system of two linear equations

algebraically, how can you tell if the system has exactly one
solution?

Answer 1

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Explanation:

Got this from google hope it helps