Solving Equations

There are two main ways to solve equations, algebraically or by using matrices. There are also different subcategories of each way to solve the equations. Using matrices or solving algebraically has some differences and similarities.
There are a few ways to solve equations algebraically. One line of attack is by substitution. In substitution, the goal is to solve for one of the variables in the first equation then substitute that variable into the second equation. Another approach is to solve by the linear combinations method.…