1. This method is very easy to remember steps.
2. Gives an opportunity to find only one needed variable, for example you have system with 3 variables [tex]x_1, x_2, x_3[/tex] and three equations and want to find only [tex]x_2[/tex]. The Cramer's rule allows to do this very quickly and easily.
3. If any of the values of [tex]x_1, x_2, x_3[/tex] are fractions, you do not have to plug in a fraction to find the other values. Each value can be found independently.