Use Cramer's rule to solve each system of equations. If D=0, use another method to determine the solution set.
2x- y + z=-1
- 2x+y - 3z = 2
5x -y + z= 2
The png image I have attached works out Cramer's Rule for you. All you are doing is essentially replacing column vectors (for the "numerator matrices")and computing determinant ratios ("denominator matrices" stay the same). This way you find x y and z. For a better explanation, consult Wikipedia's Cramer's Rule page.
Good luck!
-Andy