About This Chapter
Systems of Equations - Chapter Summary
Feel confident that you understand systems of equations by reviewing this chapter's entertaining lessons. Learn the definitions and steps for solving various equations and systems of equations. Lessons are accessible anytime and can be reviewed at your leisure. After completing this chapter, you will be ready for the following:
- Using the Gaussian elimination method to solve simultaneous linear equations
- Solving a system of linear equations in two variables
- Graphing to solve a system of equations
- Solving systems of inequalities by graphing
Tailor the lessons in this chapter to your specific study needs. Review them in any sequence and as often as needed to grasp systems of equations concepts. Test your understanding by taking short lesson quizzes and a chapter exam. Any questions you have about topics covered in this chapter can be sent to our experts.
1. Solving Simultaneous Linear Equations
In this video lesson, you will learn how to solve simultaneous linear equations or a system of linear equations. Learn the steps you need to take to solve any such system using the Gaussian elimination method.
2. 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.
3. How to Solve a System of Equations by Graphing
Watch this video lesson to learn how you can solve a system of equations by graphing. Learn when you have a solution and when you don't. Also learn how easy the solution is to spot.
4. System of Inequalities: Graphing & Concept
When we need to solve a system of two or more inequalities, we graph the solution set of each one, but we put them on the same graph and see what that looks like. The overlapping shaded areas tells us where to find the solution set.
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Other chapters within the Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide course
- Real & Rational Numbers
- Exponents & Operations
- Properties of Operations
- Fractions, Decimals & Percents
- Ratios, Rates & Proportional Relationships
- Number Theory & Estimation
- Radical & Exponential Expressions
- Linear Equations & Inequalities
- Nonlinear Equations & Inequalities
- Sequences & Patterns in Math
- Understanding & Comparing Functions
- Function Graphs & Models
- Perimeter, Area & Volume Overview
- Properties of Angles & Lines
- Properties of Shapes Overview
- Geometric Relationships & Transformations
- Systems of Measurement & Conversion
- Geometric Construction
- Data Interpretation in Math
- Dispersion & Probability Models
- Logical Reasoning & Visual Representations of Data
- Pennsylvania Grades 4-8 - Math Subject Concentration (5158) Flashcards