How can we describe our solutions to a system of equations

The video tutorial explains how to classify solutions of a system of linear equations. It covers the concepts of consistent and inconsistent solutions, where consistent systems have at least one solution, and inconsistent systems have none. It also differentiates between dependent and independent solutions, with dependent solutions having infinite solutions and independent solutions having exactly one. The tutorial provides a clear understanding of these classifications to help in analyzing linear equations.

What are the different types of solutions for a system of two linear equations?

How can we classify solutions as consistent or inconsistent?

Explain the significance of the intersection in determining the consistency of solutions.

What does it mean for a solution to be independent or dependent?

What can be concluded if a system of equations has infinite solutions?