2x + 2y - z = 2

x - 3y + z = 0

3x + 4y - z = 1

Matrix form

2 2 -1 | 2

1 -3 1 | 0

3 4 -1 | 1

Could anyone sort of give me the steps to solve this? I'm having some trouble on it and I"m reviewing for an exam tomorrow. What sort of techniques should I be following? I normally just try to get a 1 a the top left, then a 0 in the 1st column 2nd row then a 0 in the 1st column 3rd row. But confused on what I should be looking for after that (I missed the lesson so I'm sort of teaching myself). All help appreciated!