Which term describes the process of rewriting equations to eliminate one of the variables?

The term that describes the process of rewriting equations to eliminate one of the variables is elimination. This technique is commonly used in systems of linear equations, where two or more equations are solved simultaneously. By manipulating the equations—typically by adding or subtracting them—one variable can be removed, making it easier to solve for the remaining variable.

This method is particularly useful when working with two equations that have common coefficients. By canceling out one variable, it simplifies the process of finding the solution that satisfies both equations. Consequently, once one variable is isolated, the value can be substituted back into one of the original equations to find the other variable.

In contrast, substitution involves solving one equation for one variable and inserting that expression into another equation, which is a different strategy. Factoring relates to algebraic expressions and is not typically associated with the direct elimination of variables in simultaneous equations. Graphing provides a visual representation of equations but does not directly involve the algebraic manipulation of the equations themselves to eliminate variables.