Details for problem "Linear equation system - Gaussian algorithm"

Quickname: 3339

Suitable for K-12 grades: Grade 9 Grade 10

Junior High School, High School, Senior High School.

Summary

A system of linear equations is to be solved with the Gaussian elimination method.

Examples

A system of linear equations is to be solved with the Gaussian elimination method. (Example for the solution)

Description

A system of linear equations with two to four unknowns is to be solved. According to the number of unknowns a number of linear equations are given.

The names of the unknowns can be chosen from the following naming schemes : x1 to x4, a,b,c,d... or w,x,y,z.

The given system will always be solvable unambiguously.

The following types of problems are available:

- Gaussian elimination method with integers

The solution can optionally be output by

simple indication of the solution
output of the triangular form of the equation system, followed by the derivation of the unknowns by incremental substitution.
the output of the solution steps with to the triangle form, then followed by the derivation of the unknowns by incremental substitution.

If desired, a reference to the application of the Gauss method can be given with the task definition. The number of unknowns and thus the size of the task is selectable. The number of problems can also be set.

Topics: Algebra Arithmetic Equations

Tags: Addition Multiplication Rules

Free worksheets and solution sheets with answers for download

Download free printable worksheets for this math problem here. The worksheet contains the problems only, the solution sheet includes the answers. Just click on the respective link.

If you can not see the solution sheets for download, they may be filtered out by an ad blocker that you may have installed. If this is the case, please allow ads for this page and reload the page. The solution sheets will then reappear.

Do these sample worksheets do not really fit?
Do you need more math worksheets, with a different level of difficulty?
Would you like to combine different problems on a worksheet and adjust them to your needs?
As a teacher, you can put together your own worksheets using the automatically generated math problems provided.

With a free initial credit, you can start creating your own math worksheets in a few minutes.

You can try it for free! Register here, to create custom worksheets now!

Customization options for this problem

Parameter

Possible values

Number of problems

1, 2

Solution verbosity

Solutions only, Triangular form, Steps to solve

Type

Gauss, whole nmbrs

Size

2, 3, 4

Variable names

x1,x2,x3,x4, w,x,y,z, a,b,c,d

Mention Gauss Algorithm

Yes, No