How to Solve Linear Systems Using Gaussian Elimination


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question 1 of 3

Using Gaussian elimination, what number needs to be changed to 0 in this linear system?

3x - 4y = 9

4x + 15y = 11

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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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About this Quiz & Worksheet

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.

Quiz & Worksheet Goals

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

Skills Practice

  • 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

Additional Learning

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