# Thinking about solutions to systems

6 videos
4 skills
You know how to solve systems of equations (for the most part). This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.

### Inconsistent systems of equations

VIDEO 9:25 minutes
Systems of equations without a solution

### Infinite solutions to systems

VIDEO 7:08 minutes
Consistent, but dependent systems of equations

### Consistent and inconsistent systems

VIDEO 5:29 minutes
Consistent and Inconsistent Systems

### Independent and dependent systems

VIDEO 5:10 minutes
Independent and Dependent Systems

### Practice thinking about number of solutions to systems

VIDEO 6:36 minutes
Going through a few examples on the Khan Academy practice exercise: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/e/solutions_to_systems_of_equations

### Graphing systems with one, zero, or infinite solutions

PRACTICE PROBLEMS

### Systems with one, zero, or infinite solutions

PRACTICE PROBLEMS
Determine how many solutions exist to a given system of equations (one, zero, infinite).

### Constructing solutions to systems of equations

VIDEO 6:21 minutes

### Constructing consistent and inconsistent systems

PRACTICE PROBLEMS

### Graphically understanding solution methods to systems of equations

PRACTICE PROBLEMS
Use graphs to understand that substitution and elimination always produce equations consistent with the solution of the original system.