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More Lessons for Basic Algebra

Math Worksheets

A series of free Basic Algebra Lessons.**Inconsistent and Dependent Systems of Equations**

A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel. A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions. These two situations occur when trying to solve for a system of equations.

**Consistent and independent systems, consistent and dependent systems, and inconsistent systems**

**Solving Systems using Matrices **

A system of equations is two or more equations that contain the same variables. Solving systems using matrices is one method to find the point that is a solution to both (or all) original equations. Besides solving equations using matrices, other methods of finding the solution to systems of equations include graphing, substitution and elimination.

**Solving a System of Linear Equations Using Inverses of Matrices**

Solve a 2 x 2 system using inverses (find using determinants).

**Using the inverse of a matrix to solve a system of equations**
**Systems of Inequalities **

When solving systems of inequalities, you are solving for a solution region. A solution region is the collection of points that are solutions to both inequalities. Solving systems of inequalities combines knowledge of graphing lines, graphing inequalities and solving systems of equations.

**Graphing Systems of Linear Inequalities**

More Lessons for Basic Algebra

Math Worksheets

A series of free Basic Algebra Lessons.

In this lesson, we will learn

- inconsistent and dependent systems of equations
- how to solve systems of equations using matrices
- how to solve systems of inequalities by graphing

A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel. A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions. These two situations occur when trying to solve for a system of equations.

A system of equations is two or more equations that contain the same variables. Solving systems using matrices is one method to find the point that is a solution to both (or all) original equations. Besides solving equations using matrices, other methods of finding the solution to systems of equations include graphing, substitution and elimination.

Solve a 2 x 2 system using inverses (find using determinants).

When solving systems of inequalities, you are solving for a solution region. A solution region is the collection of points that are solutions to both inequalities. Solving systems of inequalities combines knowledge of graphing lines, graphing inequalities and solving systems of equations.

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