# Ch 5: Systems of Linear Equations: Homework Help

### About This Chapter

## How it works:

- Identify which concepts are covered on your systems of linear equations homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your systems of linear equations homework with ease!

## Topics from your homework you'll be able to complete:

- Using a system of equations
- Solving a system of linear equations in two variables
- Solving a linear system in three variables with a solution
- Solving a linear system in three variables with no or infinite solutions

### 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.

### 6. Solving Systems of Equations Using Matrices

Systems of equations appear in all types of real-world applications. A nice way to solve these equations is to use matrix operations like row exchange, multiplication and addition. In this lesson, we show how this is done.

### 7. Independent System of Equations Examples

You may have heard of independent variables, but did you know that systems of equations can be independent? In this lesson, you'll explore some examples of independent systems of equations, including those found in algebraic equations and graphs.

### 8. Dependent System of Linear Equations Examples

What do you think of when you hear the word 'dependent?' You probably think of dependent children or someone that relies on another person. Well, equations can be dependent, too. In this lesson, you'll learn how to identify dependent systems of linear equations.

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### Other Chapters

Other chapters within the High School Precalculus: Homework Help Resource course

- Working with Linear Equations: Homework Help
- Working With Inequalities: Homework Help
- Absolute Value Equations: Homework Help
- Working with Complex Numbers: Homework Help
- Mathematical Modeling: Homework Help
- Introduction to Quadratics: Homework Help
- Working with Quadratic Functions: Homework Help
- Geometry Basics for Precalculus: Homework Help
- Functions - Basics for Precalculus: Homework Help
- Understanding Function Operations: Homework Help
- Graph Symmetry: Homework Help
- Graphing with Functions: Homework Help
- Rate of Change in Precalculus: Homework Help
- Polynomial Functions Basics: Homework Help
- Higher-Degree Polynomial Functions: Homework Help
- Rational Functions & Difference Quotients: Homework Help
- Rational Expressions and Function Graphs: Homework Help
- Exponential Functions & Logarithmic Functions: Homework Help
- Using Trigonometric Functions: Homework Help
- Trigonometric Graphs: Homework Help
- Solving Trigonometric Equations: Homework Help
- Trigonometric Identities: Homework Help
- Trigonometric Applications in Precalculus: Homework Help
- Graphing Piecewise Functions: Homework Help
- Vectors, Matrices and Determinants: Homework Help
- Mathematical Sequences and Series: Homework Help
- Sets in Algebra: Homework Help
- Analytic Geometry and Conic Sections: Homework Help
- Polar Coordinates and Parameterizations: Homework Help
- Continuity in Precalculus: Homework Help
- Limits in Precalculus: Homework Help