Solving Systems by Matrices

Given 2 equations:

1. Line up variables

2. Create a 2x2 matrix that holds the coefficients, call this matrix A.

3. Multiply matrix A by a 2x1 matrix that holds the variables, call this matrix B.

4. Set it equal to a 2x1 matrix that holds the solutions to the equations, call this matrix C.

5. Multiply the left side of matrix A by the inverse matrix A. This will result in the identity matrix multiplied by matrix B.

(Note: Identity matrix multiplied by any matrix, M, results in M.)

6. Multiply the left side of matrix C by the inverse matrix A.

7. A*C = the solution set, which is a 2x1 matrix D