# Three Linear Equation System

## Original question text:

I am having vast difficulty understanding how to solve linear equation systems.

Could anyone please show me (in the simplest terms) how to solve the following?2x + y + z = 9-x - y + z = 13x - y + z = 9I need the x, y, and z variables that satisfy each equation. I cannot for the life of me figure it out, and the book I have is just awful.## How can Algebrator help you with this problem?

Algebrator can easily solve problems such as the one you posted on Yahoo Answers.

You start by entering it in an intuitive math editor. You may enter each equation on a line of its own and the software

will solve this "system of three equations in three unknowns".

To control the method by which the system is solved, use the drop-down menu "Solution->Settings", where elimination,

substitution and Cramer rule are shown as options.

For example to solve a system of equations using the Elimination method, enter the equations into the software

and select Elimination as the solution method.

An example using your system of equations is described below.

We can solve this system by adding both equations.

Below, you can check the explanation given by Algebrator.

In order to isolate the variable, in this linear equation, we need to get rid of the coefficient that multiplies it.

This can be accomplished if both sides are divided by 4.

Explanation for this (or any other) step is just a click away.

Some Important features are:

1.Flash demos, found under the drop-down menu "Help->Tutors".

The demos are also available online at "https://softmath.com/demos/", where you may simply select any of the ".htm"

files and the demo will play within your browser

2. Wizard button - for example, click the Wizard button and look under the category of "Line" to see the many useful

templates for exploring linear equations.

3. The Explain button, which provides the mathematical logic involved in the selected step.

Finally you get the solution you were looking for.

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