# How to solve simultaneous equations in 3 variables

Not what you're looking for?

The method shows one how to solve 3 simultaneous equations as below for x, y, z

Problem is to the solve the following simultaneous equations

22x + 5y + 7z = 12 (1)

10x + 3y + 2z = 5 (2)

9x + 2y + 12z = 14 (3)

##### Purchase this Solution

##### Solution Summary

A detailed example showing how to solve simultaneous equations in 3 variables using addition/subtraction and substitution methods.

##### Solution Preview

Methodology to solve simultaneous Equations containing three variables

Problem is to the solve the following simultaneous equations

22x + 5y + 7z = 12 (1)

10x + 3y + 2z = 5 (2)

9x + 2y + 12z = 14 (3)

From (2) we can multiply both sides by 6 to get

60x + 18y + ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.