Solve each system of equations using the addition method. 5...

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Key Concepts

System of Linear Equations

A system of linear equations consists of multiple linear equations that share the same set of variables. The goal is to find the values of these variables that make all the equations true simultaneously, which often represents the intersection point(s) of the lines described by the equations.

Addition (Elimination) Method

The addition method, also known as the elimination method, is a technique for solving systems of equations by adding or subtracting the equations to eliminate one of the variables. This process simplifies the system into a single equation with one variable, making it easier to solve for that variable.

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. These equations describe straight lines when graphed and usually involve operations such as addition, subtraction, and multiplication by constants without any exponents or products of variables.

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