# How do you solve #6x + 2y = -16# and #5x + 6y = 4# using matrices?

##### 1 Answer

Use the matrix equation and the inverse matrix to find

#### Explanation:

We begin by writing our system of equations in matrix form

Let

We then use the identity that a matrix,

Multiplying both sides of our original matrix equation by the inverse matrix we get:

which simplifies to

since any matrix or vector multiplied by the identity matrix is itself. We now need to find

Substitute this into the equation to find

Therefore