# How do I use Cramer's rule to solve a system of equations?

##### 1 Answer

You divide each variable determinant by the determinant of the coefficients.

**EXAMPLE:**

Use Cramer's Rule to solve the following system of equations:

**Solution:**

The left hand side gives us the coefficient matrix.

The right hand side gives us the answer matrix.

The determinant

Let

Similarly,

and

Cramer's Rule says that

The solution is