Practice!

Sample Problem

Use Cramer’s rule to solve the following system:

3x – 4y + 2z = 18

4x + y – 5z = -13

2x – 3y + z = 11

x =

y =

z =

Solution

The coefficient determinant has a value of:

 = (3 + 40 -24) – (4 + 45 – 16) = 19 – 33 = -14

 -14 = x

x = 2

 -14 = y

y = -1

 -14 = z

z = 4