5.2 Solving Systems of Equations by the Addition Method

Objective A – To solve a system of two linear equations in two variables by the addition method (elimination method)

The addition method is an algebraic method to solve a system of linear equations when solving one equation for a variable is not convenient.

To begin, multiply one (or both) equation by a constant so that the coefficients of one of the variables are opposites. Add the two equations together, eliminating that variable. Solve for the remaining variable, then substitute the result into one of the equations to determine the value of the other variable.

Here is a worksheet to practice solving system of equations with two variables by elimination.