Help Algebra
Help algebra.com: Substitution Method for Systems
Using the Substitution Method, a system of equations is solved. The process is shown in detail and can be used as a reference for solving other systems
![Pre Calculus Notes: Matrices and Systems of Equations [Pdf] Handout](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Pre Calculus Notes: Matrices and Systems of Equations [Pdf] Handout")
Math Notes and Math Tests
Pre Calculus Notes: Matrices and Systems of Equations [Pdf]
Students learn about matrices and systems of equations. Topics explored are elementary row operations, Gaussian elimination, row-echelon form, and systems with infinitely many solutions. Class notes and examples are included.
Math Medics
S.o.s. Math: Gaussian Elimination
In this lesson, the Gaussian Elimination method is used to solve systems of linear equations. Provides several formulas and examples for understanding.
Doina Popovici
Math Play: System of Equations Halloween Math Game
Solve this system of equations by using substitution in this online game.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 13 [Pdf]
The practice exercise has students solve a system of linear equations and identify the graphs of the equations. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 14 [Pdf]
The practice exercise has students solve a system of linear equations and identify the graphs of the equations. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Elimination Method 15 [Pdf]
Learners identify the graphs of a system of linear equations and then solve the system. The practice exercise is available in PDF format.
Other
Simon Fraser University: Background for Linear Systems
This site from the Simon Fraser University gives an introduction to solving a system of differential equations.
Sophia Learning
Sophia: Singular and Non Singular Matrices: Lesson 1
This lesson introduces the notion of a singular matrix and provides a shortcut to determine whether or not a given 2x2 matrix is singular. It is 1 of 5 in the series titled "Singular and Non-Singular Matrices."
Sophia Learning
Sophia: Using Elementary Row Operations to Solve for Systems of Equations
This lesson presents how to use elementary row operations to solve for a system of linear equations.
Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices #4
This lesson demonstrates how to write systems of equations as augmented matrices.
Sophia Learning
Sophia: Writing Systems of Equations With Augmented Matrices #5
This lesson demonstrates how to write systems of equations as augmented matrices.
Sophia Learning
Sophia: Singular and Non Singular Matrices: Lesson 3
This lesson introduces the notion of a singular matrix and provides a shortcut to determine whether or not a given 2x2 matrix is singular. It is 3 of 5 in the series titled "Singular and Non-Singular Matrices."
ClassFlow
Class Flow: Applications Using Systems
[Free Registration/Login Required] This flipchart provides guided practice with word problems involving systems of equations and gives a brief review on solving systems of equations.
ClassFlow
Class Flow: Cramer's Rule
[Free Registration/Login Required] This flipchart shows how to solve a system of equations using Cramer's Rule.
Interactive Mathematics
Interactive Mathematics: Solving Systems Algebraically
Both the substitution and elimination methods are presented through detailed examples. Learn step by step how to find solutions to any linear system of two variables.
Interactive Mathematics
Interactive Mathematics: Graphical Solutions of a System
An example of how to find the solution of a linear system is presented using the graphing method. This is a nice tutorial for students to use as a reference while practicing with linear systems.
Interactive Mathematics
Interactive Mathematics: Determinants
Using determinants and Cramer's Rule, systems of two and three variables are solved step by step. Several examples are presented to demonstrate how Cramer's Rule is used.
Interactive Mathematics
Interactive Mathematics: Algebraic Solutions of Systems
Nonlinear systems are solved using the algebraic methods of substitution and addition/subtraction. Learn how these methods work through detailed examples.
Purple Math
Purplemath: Systems of Linear Inequalities
This Purplemath lesson describes how to solve a system of linear inequalities by graphing.
Purple Math
Purplemath: System of Equations Word Problems
This lesson gives numerous word problems with thier solutions for problems with systems of equations. Go to the third problem on the lesson, about half way down the page to find a problem with a quadratic system.
Purple Math
Purplemath: Cramer's Rule
Cramer's Rule for solving a system of equations is presented here using an example of a system in three variables with three equations. The "everything," approach of solving for all three variables is shown as well as the "selective,"...
Doina Popovici
Math Play: System of Equations Basketball Game
Solve equations with this online game that can be played alone or with others.
Interactive Mathematics
Interactive Mathematics: Graphical Solution of Non Linear Systems
Using the graphing method, several systems of nonlinear equations are solved. Follow each example step by step to see how solutions are derived.