This post is about the solution of a Linear System (Part 1).

The solution of a Linear system is he ordered pair ( for 2 variables), ordered triple ( for 3 variables) and so on, that satisfies or makes each equation of a system true. 

We can classify Linear systems based on it's solution. 

1. Consistent - we can say that the system is a consistent one if it has 1 or more solution. There are two types of consistent system, the consistent independent system and the consistent dependent. The system is said to be consistent independent if it has exactly one solution. On the other hand, the system is said to be 

consistent dependent if it has an infinite number of solutions.

2. Inconsistent - we can say that the system is an inconsistent one if it has no solution.

To solve a Linear system, we can use many techniques like:

-Graphing method

-Substitution method

-Elimination method

- Matrix method

But the commonly used technique in Linear algebra is the Elimination method and the matrix method.