Well, the definition of a system of linear equations is: Any equation that can be written in the form Ax + By = C. ... The System of equations is a set of equations with the same variables is a system of equations.1. ... Solve the newer equation, then substitute the value found into any equation involving both variables and solve for the other variable. ... To sum up this paper, There are three types of systems of equations. There is 3 ways to algebraically solve systems of equations