Solve the following system of equations two ways:
First solve using elementary row operations (you may use back-substitution if you like). Make sure you annotate your work clearly.
Second solve by expressing the system as a matrix equation of the form Ax=b (make sure you provide some explanation of where this matrix comes from.), find A^-1, and then multiply both sides of the equation with A^-1.
Here is your system of equations:
x + y - 2 = 4
2x – y + z = 2
-3x + y + 5z = 2