Write the system as:




Then write that as:



Now we must find the inverse of the 2x2 matrix 

To find the matrix of a 2x2 determinant:



1.  Find the value of its determinant:



2.  Swap the upper left and lower right elements of :



3. Change the sign of the upper right and lower left elements.



4. Divide every element by the value of the determinant found
   in step 1.





-----------------

Next we left-multiply both sides of the equation



by the inverse 

and we get:

 

Next we multiply the first two matrices on the left:

 

Simplifying,





Now multiply the two matrices on the left:



Simplifying:



Now multiply the two matrices on the right:



Simplifying





So the solution is;  ,

Edwin