# Ch 10: Systems of Equations

### 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

Simultaneous linear equations are a group of linear equations, also known as a system. Learn how simultaneous linear equations are solved using the Gaussian Elimination method of removing unwanted variables to simplify the equations and the steps involved.

### 2. 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.

### 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. System of Inequalities: Graphing & Concept

The concept of a system of inequalities is solved by graphing when there are two or more inequalities. Discover how solving a system of inequalities works, and learn how to graph a single inequality, the second inequality, and the final solution.

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### Other Chapters

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