Use Cramer's Rule to solve for z:

Question

3x+2y-z=17
2x+3y-z=15
2x-3y-z=-3

Answer 1

Given equations are 3x + 2y - z = 17 ---> (1)

2x + 3y - z = 15 ---> (2)

2x - 3y - z = -3 ---> (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.

Solution

z  =  4.