Use Cramers rule to solve for z,

Question

x+2y-3z=-24
2x-y+3z=13
x+2y+3z=0
POssible Answers:
(A) -5
(B) -6
(C) -2
(D) 4
Thanks for your help

Answer 1

Given equations are x + 2y - 3z = -24 ---> (1)

2x - y + 3z = 13 ---> (2)

x + 2y + 3z = 0 ---> (3)

Write the equations into matrix form AX  = B .

Where A is coefficient matrix , X  is variable matrix and B  is Constant matrix.

Use Cramer's method to solve z  value.

z  = 4.

Option (D) is correct choice.