Systems of Linear Equations

As one studies mathematics, it becomes apparent that there is often more than one way to obtain a solution to any given problem.  With so many options available, math students must be efficient in their solving process, so that there is a smaller chance of mechanical errors.  This attention to detail and precision in representation is an important quality that mathematicians endow.   This takes takes time to develop, and should be nutured through the communication of mathematics.  We understand the solution and the solving process much more deeply when we can explain it in our own words.