I have done several other equations of this type with no problem. I understand this method but I just cannot seem to come up with the correct answer. According to my homework assignment there IS a correct answer. I even tried using a different method and came up woth the same incorrect answer as when using this method. Any help would be greatly appreciated!

Use Cramer's rule to solve the sytem of equations.

x+2y+2z=12

2x+y+2z=11

2x+2y+z=2