Solving Systems of Equations: Cramer's Rule vs Standard Method

[FrankJ777]

I'm taking a circuits class, and my instructor suggests using Cramer's rule to solve systems of equations. I've just been using the standard method of Ax=b, A$$^{-1}$$b=x, where invert the A matrix and multiply it by the b vector. It seems more straight forward and is of course much more convenient than using Cramer's rule. Is there any reason to use one method over the other. Can Cramer's rule solve some systems that the other method can't? I'm just curious and want to make sure I'm not missing anything.

Thanks

 

[trambolin]

check wikipedia page. It is stated clearly.