Consider the following 2 equations: x-2y+4z=12 2x+y-z=4 i) show that the system is consistent and write an expression for any solution in terms of an unknown parameter α. that is, find an expression for {x(α),y(α),z(α)}. ii) make up a third equation (your choice) which is redundant. iii) make up a third equation (your choice) which makes the system inconsistent. iv) make up a third equation (your choice) which is consistent and not redundant. show that the solution of the new 3-equation system is unique and compute it.