Test whether the system of linear equations is consistent or inconsistent using rank method. Find the solution if exists.
1) 2x + y - z = 1
2) x - 2y + z = 3
3) 4x - 3y + z = 5
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- 2x + y - z = 1
- x -2y + z = 3
- 4x - 3y + z = 5
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