There are several crucial things that one must remember in order to fully get through this struggle and emerge victorious. First of all, one must pay close attention to the calculations that they do in their head, because it's really easy to mess up. And if you mess up once during the problem, you'll have to go back and redo the entire thing from that point onward. Second of all, you have to remember to transfer the correct sign (+/-), and also utilize them correctly, for the next step. One mistake could mess up your entire problem. Lastly, if you're not utilizing a calculator to derive RREF (Reduced Row Echelon Form), you have to remember to utilize your elementary row operations without mistake, for one mistake could, again, cost you the entire answer, ergo, a whole lot of time. That is all.
