# Ch 26: 8th Grade Math: Systems of Linear Equations

### About This Chapter

## 8th Grade Math: Systems of Linear Equations - Chapter Summary

Systems of linear equations can be solved in a variety of ways, and these lessons show your students a few of them- such as by graphing, substituting, and eliminating. Your middle school student will also benefit from learning how to solve problems in two or three variables. The interactive worksheet that accompanies each lesson is accessible before, during, and after each lesson, so make sure to take advantage of this excellent resource.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

What is a System of Equations? | At the end of this lesson, students will understand what a system of equations is. |

How Do I Use a System of Equations? | Students learn how to change a story problem into a system of equations. |

How to Solve a System of Equations by Graphing | Instructors teach how to use graphs to solve a system of equations. |

Solve a System of Equations Using Substitution | This lesson directs students through solving equations with substitution. |

Solve a System of Equations Using Elimination | In this lesson, students practice solving problems with elimination. |

How to Solve a System of Linear Equations in Two Variables | Students study linear equations that have two variables. |

How to Solve a Linear System in Three Variables With a Solution | Using examples, instructors demonstrate how to solve problems in three variables. |

How to Solve a Linear System in Three Variables With No or Infinite Solutions | Students review how to tackle three-variable equations that may not have a clear solution. |

### 1. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

### 2. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

### 3. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

### 4. How to Solve a Linear System in Three Variables With a Solution

After watching this video lesson, you will be able to solve a linear system in three variables using the elimination method. Learn the simple operations that are needed to solve your system.

### 5. How to Solve a Linear System in Three Variables With No or Infinite Solutions

In this video lesson, you will learn to recognize when a linear system has no solution or an infinite number of solutions. You will also learn how to go about solving each of these types of systems.

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### Other Chapters

Other chapters within the 8th Grade Math: Practice & Review course

- 8th Grade Math: Basic Arithmetic Operations
- 8th Grade Math: Divisibility
- 8th Grade Math: Number Properties
- 8th Grade Math: Number Theory
- 8th Grade Math: Factoring
- 8th Grade Math: Estimation and Rounding
- 8th Grade Math: Whole Numbers
- 8th Grade Math: Simplifying Whole Number Expressions
- 8th Grade Math: Negative Numbers
- 8th Grade Math: Absolute Value
- 8th Grade Math: Integers
- 8th Grade Math: Rational Numbers
- 8th Grade Math: Inequalities
- 8th Grade Math: Introduction to Decimals
- 8th Grade Math: Operations with Decimals
- 8th Grade Math: Introduction to Fractions
- 8th Grade Math: Operations with Fractions
- 8th Grade Math: Percents
- 8th Grade Math: Exponents & Exponential Expressions
- 8th Grade Math: Roots & Radical Expressions
- 8th Grade Math: Basic Algebraic Expressions
- 8th Grade Math: Algebraic Distribution
- 8th Grade Math: Simplifying & Solving Rational Expressions
- 8th Grade Math: The Coordinate Graph
- 8th Grade Math: Linear Equations
- 8th Grade Math: Properties of Functions
- 8th Grade Math: Graphing Functions
- 8th Grade Math: Solving Math Word Problems
- 8th Grade Math: Introduction to Geometric Figures
- 8th Grade Math: Triangles in Geometry
- 8th Grade Math: Quadrilaterals in Geometry
- 8th Grade Math: Circles in Geometry
- 8th Grade Math: Circular Arcs & Measurement in Geometry
- 8th Grade Math: Polyhedrons and Geometric Solids
- 8th Grade Math: Symmetry, Similarity & Congruence in Geometry
- 8th Grade Math: Triangle Theorems and Proofs in Geometry
- 8th Grade Math: Similar Polygons in Geometry
- 8th Grade Math: The Pythagorean Theorem in Geometry
- 8th Grade Math: Units of Measurement
- 8th Grade Math: Measuring Perimeter & Area
- 8th Grade Math: Data & Graphs
- 8th Grade Math: Probability
- 8th Grade Math: Statistics
- 8th Grade Math: Rates, Ratios & Proportions
- 8th Grade Math: Consumer Math
- 8th Grade Math: Number Sequences
- 8th Grade Math: Sets & Subsets
- 8th Grade Math: Algebraic Monomials & Polynomials