About This Chapter
Solving Linear Equations - Chapter Summary and Learning Objectives
Continue your study of linear equations with this informative chapter. You can find out how systems of equations may be used for comparisons in real-life problems simply by changing stories into equations. Lessons will also delve into solutions for linear systems with multiple variables. By the time you complete this chapter, you should be familiar with the following:
- Systems of equations
- Solving linear systems in two or three variables
- How are linear systems in three variables with no or infinite solutions solved?
- Linear systems with no or infinite solutions
|What is a System of Equations?||Find out about systems of equations and their graphs.|
|How Do I Use a System of Equations?||Learn to change stories into equations in order to solve.|
|How to Solve a System of Linear Equations in Two Variables||Explore methods for solving systems of linear equations in two variables.|
|How to Solve a Linear System in Three Variables With a Solution||Practice finding solutions for linear systems in three variables with solutions.|
|How to Solve a Linear System in Three Variables With No or Infinite Solutions||Examine steps for solving linear systems in three variables with either infinite or no 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.
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Other chapters within the Algebra 2 and Trig Textbook course
- Identifying Real Numbers
- Complex Numbers
- Absolute Value Review
- Solving Algebraic Expressions & Equations
- Calculating Rational Expressions
- Working with Linear Equations
- Solving & Graphing Inequalities
- Graphing & Working with Trigonometric Functions
- Graph Symmetry
- Graphing with Functions
- Calculating & Graphing Polynomials
- Calculating & Simplifying Exponential Expressions
- Square Roots & Radical Expressions
- Quadratic Equations & Formulas
- Factoring & Graphing Quadratic Equations
- Conic Sections: Ellipses, Circles, Hyperbolas & Parabolas
- Vectors, Matrices and Determinants
- Exponential Functions & Logarithmic Functions
- Arithmetic & Geometric Sequences & Series
- Calculating & Presenting Statistics
- Combinatorics & Probability
- Using Trigonometric Functions
- Trigonometric Graphs
- Trigonometric Applications
- Solving Trigonometric Equations
- Trigonometric Identities
- Circles, Angles & Circular Arcs