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# Details for problem "Linear equation system - Gaussian algorithm"

Quickname: 3339

Junior High School, High School, Senior High School.

## Summary

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

## 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.

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## 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

Remark
Description