Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter Z. - a + by + 12z = -12 -15x + 28y + 86z = -86 3x - by - 162 = 16 X = y= ZEGiven the following linear system for x, y, and z. Use Guass-Jordon solving technique, on a separate paper to solve. If there is an infinite number of solutions then express the solutions in terms of z as the parameter. If there isn't a solution, then be sure to put "no solution" in each answer. ac + 2y + 3z = 10 + 3y + 5z = 13 3x - 7y 11z = -33 T = y Z =Use the Gauss-Jordon elimination method to find the solution of the system. -7ac y + 4a = 42 7ac - 2y + 6a = -40 - X + 5y + 7a = -21 y aGiven the following linear system for x, y, and z. Use Guass-Jordon solving technique, on a separate paper to solve. If there is an infinite number of solutions then express the solutions in terms of z as the parameter. If there isn't a solution, then be sure to put "no solution" in each answer. + 2y - 9z = 8 + 3y - 12z = 10 3x - 7y + 30z = -22 C = = Z EWrite the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. Try to do this problem with pencil and paper only. Only use Mathematica or Maple to help with simple row operations or simple computations. 17x - 8y - 18z = 40 16x + 3y + 262 = -15 4x - 2y - 4z 10 C = y = Z =For what value of k will the linear system below be consistent? Try to do this problem with pencil and paper only. 1x1+ 5x2 = -3 -9x1 + 2x2 = k 8x1 - 2x2 = K = You may enter your answer as a fraction