Write as the 2x2 coefficient matrix multiplied by the 2x1 variable 
matrix and set it equal to the 2x1 constant matrix:

 = 

To find the inverse of the 2x2 coefficient matrix: 

1. Swap the upper left and lower right emements: 

2. Change the signs of the upper right and lower left elements: 

3. Calculate the determinant, either of the original matrix or the one that is the result of step 3 for their determinants are the same: 
   
original matrix's determinant:  (1)(-3)-(2)(2) = -3-4 = -7
step 3 matrix;s determinant:  (-3)(1) - (-2)(-2) = -3-4 = -7

4. Divide each term in the matrix by the value of the determinant:



Left-multiply both sides of the matrix equation by this inverse:

 = 

 = 

 = 

 = 

 = 

 = 

 = 

x=2, y=1

Edwin