Solve using matrices.
-3x - y - 8z = 6 9x + 5z = 91
3y + z = 17
A) (5, 2, 9)
B) (-9, 5, 18)
C) (9, 5, 2)
D) (9, 2, 5)

Question

Quizplus · Accepted Answer

To solve this system of equations using matrices, we can represent the system in matrix form AX = B, where A is the coefficient matrix, X is the column matrix of variables (x, y, z), and B is the column matrix of constants on the right side of the equations. However, given the nature of the question, we can directly check each option by substituting the values of x, y, and z into the original equations to see which one satisfies all three equations.Option C: (9, 5, 2) Substituting x = 9, y = 5, and z = 2 into the equations:1. 3(9) - 5 - 8(2) = 27 - 5 - 16 = 6, which matches the first equation.2. 9(9) + 5(2) = 81 + 10 = 91, which matches the second equation.3. 3(5) + 2 = 15 + 2 = 17, which matches the third equation.Since all three equations are satisfied, option C is the correct solution.

Solve Using Matrices. -3x - Y - 8z = 6 9x + 5z