# Ch 34: WEST Middle Grades Math: Systems of Linear Equations

### About This Chapter

## WEST Middle Grades Math: Systems of Linear Equations - Chapter Summary

Review the rules for building, graphing and solving systems of equations by watching the video lessons in this chapter. You'll discover concepts you're already familiar with and you may learn something new as you prepare to pass the WEST Middle Grades Math examination. Your exploration of this chapter's topics could help you to:

- Compare and contrast several equations
- Use the substitution, graphing or elimination methods to solve equations
- Review the rules for solving equations in two variables
- Learn to solve equations in three variables with solutions, no solutions or infinite solutions

Use the tips, strategies and information provided by the video instructors to prepare for the WEST Middle Grades Math examination. The videos are fun to watch as well as easy to follow. You can use the video tags to go over specific parts of the lessons or consult the transcripts that are included in the chapter. Study as your schedule allows, then take the self-assessment quizzes that follow each lesson.

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

Math word problems often ask students to compare and contrast, which are types of problems that can be solved with a system of equations. Learn about solving word problems using systems of equations and how to graph them, as well as the algebraic method of substitution through an example.

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

Most word problems that appear on math tests require a system of two or more equations to solve. Through examples, learn how to solve a system of equations with substitution and elimination in three steps.

### 3. How to Solve a System of Equations by Graphing

Often, a math problem is a system of equations where two or more equations are required to find a single answer. Learn how to solve a system of equations using the graphic method and by identifying graph intersections, with the help of some examples.

### 4. How to Solve a System of Equations by Substitution

Solving a system of equations usually requires a lot of steps and more than one equation. With examples, learn how to solve a system of equations by substitution, solving for the first variable and using that to solve the rest.

### 5. How to Solve a System of Equations by Elimination

Systems of equations can often be solved using a tool of elimination, whereby the variables are systematically 'eliminated' through simple steps. Learn how to eliminate variables in different ways in order to solve more complex equations.

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

A system of linear equations in two variables is an important concept that is used in many math disciplines. Review a detailed explanation of these systems and explore how to solve them using the substitution method.

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

A linear system with three variables is a collection of three linear equations in three variables, with none of the variables having assigned exponents. Practice the elimination method to discover how making variables 'disappear' provides a simplified solution.

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

Solving a linear system in three variables with no solution will produce a false statement. A linear system in three variables with an infinite solution will give a true statement. Learn more about the linear system and how to solve both conditions using the elimination method.

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### Other Chapters

Other chapters within the WEST Middle Grades Mathematics (203): Practice & Study Guide course

- WEST Middle Grades Math: Basic Arithmetic Operations
- WEST Middle Grades Math: Solving Math Word Problems
- WEST Middle Grades Math: Properties of Numbers
- WEST Middle Grades Math: Estimating & Rounding
- WEST Middle Grades Math: Number Theory
- WEST Middle Grades Math: Roots & Radical Expressions
- WEST Middle Grades Math: Exponents & Exponential Expressions
- WEST Middle Grades Math: Scientific Notation
- WEST Middle Grades Math: Simplifying Whole Number Expressions
- WEST Middle Grades Math: Integers
- WEST Middle Grades Math: Rational Numbers
- WEST Middle Grades Math: Introduction to Fractions
- WEST Middle Grades Math: Operations with Fractions
- WEST Middle Grades Math: Introduction to Decimals
- WEST Middle Grades Math: Operations with Decimals
- WEST Middle Grades Math: Percents
- WEST Middle Grades Math: Money & Consumer Math
- WEST Middle Grades Math: Number Patterns & Sequences
- WEST Middle Grades Math: Properties of Functions
- WEST Middle Grades Math: Graphing Functions
- WEST Middle Grades Math: Negative Numbers
- WEST Middle Grades Math: Absolute Value
- WEST Middle Grades Math: Inequalities
- WEST Middle Grades Math: Factoring
- WEST Middle Grades Math: Monomials & Polynomials
- WEST Middle Grades Math: Writing Algebraic Expressions
- WEST Middle Grades Math: Basic Algebraic Expressions
- WEST Middle Grades Math: Algebraic Distribution
- WEST Middle Grades Math: Writing & Solving One-Step Equations
- WEST Middle Grades Math: Writing & Solving Two-Step Equations
- WEST Middle Grades Math: Simplifying & Solving Rational Expressions
- WEST Middle Grades Math: The Coordinate Graph
- WEST Middle Grades Math: Linear Equations
- WEST Middle Grades Math: Rates, Ratios & Proportions
- WEST Middle Grades Math: Measurements
- WEST Middle Grades Math: Perimeter & Area
- WEST Middle Grades Math: Polyhedrons & Geometric Solids
- WEST Middle Grades Math: Symmetry, Similarity & Congruence
- WEST Middle Grades Math: Properties of Lines
- WEST Middle Grades Math: Angles
- WEST Middle Grades Math: Triangles
- WEST Middle Grades Math: Triangle Theorems & Proofs
- WEST Middle Grades Math: Similar Polygons
- WEST Middle Grades Math: The Pythagorean Theorem
- WEST Middle Grades Math: Quadrilaterals
- WEST Middle Grades Math: Circles
- WEST Middle Grades Math: Circular Arcs & Measurement
- WEST Middle Grades Math: Transformations
- WEST Middle Grades Math: Data & Graphs
- WEST Middle Grades Math: Statistics
- WEST Middle Grades Math: Data Collection
- WEST Middle Grades Math: Samples & Populations
- WEST Middle Grades Math: Probability
- WEST Middle Grades Math: Sets
- WEST Middle Grades Mathematics Flashcards