Guided Notes edmentum Date: Name: Solving Systems of Linear Equations Using Elimination Objective In this lesson, you will write and solve three-variable systems of linear equations using elimination. Elimination: a method of solving a system of equations by adding or subtracting an equation by a scalar of the other to a variable. Two-Variable Systems Sometimes before adding, we must. one or both of the equations by a so that the coefficients of one of the variables become additive inverses. Additive inverse: two numbers with signs that have a sum of zero ssroom Be