# Cramer's Rule Redux Exercises

### Example 1

In the following system of equations, what's the value of *D*?

2*x* – 3*y* + 5*z* = 9

3*x* + *y* – 4*z* = 7

-*x* + 6*y* + *z* = 6

### Example 2

Using the determinant from the previous question, solve this system of equations. Just for giggles, give your answers as decimals rounded to one decimal place.

2*x* – 3*y* + 5*z* = 9

3*x* + *y* – 4*z* = 7

-*x* + 6*y* + *z* = 6