# How do you solve a simultaneous equation using matrices?

##### 1 Answer

#### Answer:

Write the equations as matrices.

Multiply both sides by the inverse matrix of the coefficients.

#### Explanation:

Here is the general principal, without using an actual example.

Equations such as

can be written as matrices:

A matrix multiplied by its inverse gives the unit or identity matrix

which is

Multiplying by this matrix has the same result as multiplying by

Let

Find this inverse matrix.

Then multiplying both sides by

When you multiply the right side you will have the values for