# How do you solve the system #4x-y=1, x+2y=7# using matrix equation?

##### 1 Answer

#### Explanation:

In matrix form it's this:

You can the go through the formality of getting the inverse of the matrix (assuming of course it has one). If we start with the determinant:

And we know that the inverse is:

And we can say that:

And because the red and the green terms combine as the identity matrix:

Generally speaking solving systems is easier using Row Reduction but in the case of a 2x2 it is also pretty easy to work through this method.