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Algebra II Textbook26 chapters | 256 lessons

Solve this linear system using Gaussian elimination.

x + y = 2

4x - 2y = 0

Solve this linear system.

x + y = 3

y = 1

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Linear systems are equations with variables that have no exponents. One step in solving linear equations is using Gaussian elimination. This quiz/worksheet combo will test your ability to use Gaussian elimination to help solve linear systems.

In this assessment you will be tested on:

- Solving equations using Gaussian elimination
- Which numbers to change to complete linear systems
- Solving linear equations with one variable
- Solving linear equations with multiple variables
- Where zeros should be when using Gaussian elimination

**Information Recall**: access the knowledge you've gained regarding Gaussian elimination**Problem Solving**: use acquired knowledge to solve linear systems practice problems**Knowledge Application**: use your knowledge to answer questions about solving linear systems with multiple variables

You should also read more about this topic. There is a lesson called How to Solve Linear Systems Using Gaussian Elimination that will help you gain more knowledge. It has the following objectives:

- Define linear equations
- Define Gaussian elimination
- Define augmented matrices
- Turn linear systems into matrices
- Know how to isolate coefficients
- Know how to change augmented matrices into upper triangular form

You are viewing lesson
Lesson
6 in chapter 10 of the course:

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Algebra II Textbook26 chapters | 256 lessons

- What is a Matrix? 5:39
- How to Write an Augmented Matrix for a Linear System 4:21
- How to Perform Matrix Row Operations 5:08
- Matrix Notation, Equal Matrices & Math Operations with Matrices 6:52
- How to Solve Inverse Matrices 6:29
- How to Solve Linear Systems Using Gaussian Elimination 6:10
- Inconsistent and Dependent Systems: Using Gaussian Elimination 6:43
- Multiplicative Inverses of Matrices and Matrix Equations 4:31
- How to Take a Determinant of a Matrix 7:02
- Solving Systems of Linear Equations in Two Variables Using Determinants 4:54
- Solving Systems of Linear Equations in Three Variables Using Determinants 7:41
- Using Cramer's Rule with Inconsistent and Dependent Systems 4:05
- How to Evaluate Higher-Order Determinants in Algebra 7:59
- Go to Algebra II: Matrices and Determinants

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