What is the primary goal when using the elimination method for solving simultaneous equations?

The primary goal of using the elimination method for solving simultaneous equations is to find the value of one variable. In this technique, the system of equations is manipulated by adding or subtracting them to eliminate one of the variables, making it easier to solve for the remaining variable.

Once one variable is isolated and its value is determined, that value can then be substituted back into one of the original equations to find the value of the other variable. This step-by-step focus on isolating and determining one variable is central to the elimination method's purpose in solving simultaneous equations efficiently.

Other options, while related to the process, do not embody the main goal of elimination. Simplifying the system may occur during elimination but is not the ultimate aim. Creating a new equation is a tool used in the process rather than a goal in itself. Checking the solution is an important step that usually follows once values are found, but it is not the primary purpose of the elimination method.