Any method you use in solving a system of 3 or more simultaneous equations will give you the same answer provided of cource that you avoid mistakes....
i just wanted to ask if you are given a system of equations that has 3 variables and 3 equations. If you used Cramer's rule, would it give you the same answer as using the inverse matrices method. If not, can you please explain why and how am i supposed to distinguish when to use Cramer's rule and when to use the inverse matrices method
I would like to add that sometimes the factor deciding whether to use Cramer's Rule or the inverse matrix method is if there are any zeros in the system. If there are one or more zeros, sometimes you can use Cramer's rule to compute the inverse by using the row or column with zeros, to reduce the number of computations.
On the other hand, if there are no zeros in the system, and you have to crank your way through the whole thing, then it doesn't really matter which way you do it. Both ways will be a bit of work.