How to solve Simultaneous Equations by Matrix Inversion (2 equations & 2 Variables)

Simultaneous Equations of n variables and n equations:

Re-writing the above set of simultaneous equations in matrix form, we have

Let,

Matrix Inversion method,

Multiplying both sides by 

Now, 

Also,

1. Solve the following system of simultaneous equations by matrix inversion

Solution:

Given: 

Re-writing the equations in matrix form, we have

Let,

We know that, 

Now,  

 the value of   

 matrix A is non-singular and  exist.

Next,

Next,

Again, 

 the  solution to the system of simultaneous equations are  and .