Am I doing this correctly for matices?

x has subscripts 1 and 2

-2x + 2x = 2

3x - 3x = -3

|-2, 2, 2 |

|3, -3, -3|

-2(-1\2) = 1 so

|1, -1, -1|

|3, -3, -3|

-3(1) + 3 = 0 so

|1, -1, -1|

|0, 0, 0 |

The unique solution is x subcript 1 = ? and x subscript 2 = ?