Solve the question using Artificial Variables and Simplex Tableau method. Please also provide explanation with each steps

minimize 1 X1 - 8 X2 + 9 X3 subject to constraints 3 X1 - 1 X2 + 1 X3 <= 1531 10 X1 - 5 X2 >= 260 X1, X2 >= 0 AND X3 is unrestricted

Question 2 minimize 3 X1 - 7 X2 + 7 X3 + 3 X4 + 1 X5 subject to constraints 9 X1 - 9 X2 + 2 X3 - 8 X4 + 8 X5 = 379 2 X1 - 3 X2 - 3 X3 + 5 X5 = 1878