# How do I use an inverse matrix to solve a system of equations?

Apr 25, 2015

First, you must be able to write your system in Standard form, before you write your matrix equation.
Ex: 2x + 3y = 7
-x + 5y = 3

As you know from other operations, the Identity produces itself (adding 0, multiplying by 1), leaving you with the variables alone on the left side, and your answers on the right! All you have to do is multiply matrix ${A}^{-} 1$ times matrix B.