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 possible types of solutions for a system of two linear equations?

• No solution, one solution, infinitely many solutions

• One solution, no solution, finite solutions

• One solution, two solutions, three solutions

• No solution, two solutions, infinitely many solutions

When is a system of equations considered consistent?

• When it has exactly two solutions

• When it has at least one solution

• When it has more than one solution

• When it has no solutions

What does it mean if a system of equations is inconsistent?

• It has infinitely many solutions

• It has no solutions

• It has at least one solution

• It has exactly two solutions

What type of solution is it when there is only one solution to a system of equations?

• Dependent

• Inconsistent

• Consistent

• Independent

How are solutions classified when there are infinitely many solutions?

• Independent

• Dependent

• Inconsistent

• Unique