Final answer:
The Elimination Method is the technique that uses addition to solve a system of equations, providing a more accurate solution than the graphical method, which can be visually inaccurate. The correct answer to the multiple-choice question is: b) Elimination Method.
Step-by-step explanation:
The method that solves a system of equations using addition is known as the Elimination Method. In this method, you manipulate the equations in a system in such a way that adding them together eliminates one of the variables, allowing you to solve for the other. The goal is to make the coefficients of one of the variables the same or additive inverses in both equations, which allows them to cancel each other out when the equations are added together.
You can also solve a system of equations graphically by plotting each equation on a graph and finding the point of intersection, which represents the solution. However, the analytical technique, such as the elimination method, is generally more accurate than the graphical method because it provides an exact solution. Graphical methods are subject to visual inaccuracies, especially when the intersection point does not land exactly on a grid line or when dealing with a very close set of lines.
The elimination method is a powerful algebraic tool for solving systems of linear equations. This method can even be used for systems that would be difficult or impossible to solve graphically, such as those where the exact points of intersection cannot be easily delineated or when dealing with more than two variables.