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.

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck