# How do I use matrices to find the solution of the system of equations #y=1/3x+7/3# and #y=−5/4x+11/4#?

##### 1 Answer

#### Answer:

#### Explanation:

One way is to use Cramer's Rule.

**Step 1.** Enter your equations.

**Step 2.** Write them in standard form.

**Step 3.** Multiply to get rid of fractions.

The left hand side gives us the coefficient matrix.

The right hand side gives us the answer matrix.

The determinant

Let

Similarly,

Cramer's Rule says that

The solution is

**Check:**

It works!

Our solution is correct.