Determine the Type of Solution | 8.EE.C.8

The video tutorial explores different types of solutions in systems of equations: no solution, one solution, and infinitely many solutions. It presents a specific system of equations and guides viewers through the process of determining the type of solution by solving the system. The tutorial explains that no solution occurs when the equations result in a false statement, one solution occurs when the equations intersect at a single point, and infinitely many solutions occur when the equations coincide. The video concludes by solving the example system, demonstrating that it has no solution.

Why can a system of equations never have exactly two solutions?

What does it mean for a system of equations to have infinitely many solutions?