Solving Simple Systems of Linear Equations (Part 3)

Previously, the methods of elimination of variables and substitution of variables were introduced (Part 1 - click here). Subsequently, these methods were used to solve a couple of linear systems of 2 equations with 2 unknowns (Part 2 - click here). Now in this post, we take it a little further. We will find the solution to a system of 3 linear equations with 3 unknowns. 

Example:

The methods of elimination and substitution of variables can be applied to all kinds of systems of linear equations, provided they have a solution. However, as these systems become larger in number of equations and unknowns, these methods become cumbersome. Instead one can use other methods to handle large systems of linear equations such as the application of matrices or even numerical methods. These will be discussed in future posts.