Examples of Solving Systems of Linear Equations

In the following examples the process for each step is listed. To understand the process listed note the following:

Linear Operation refers to: (Linear Operations)  In a system of linear equations, if two equations are added (or subtracted) and one (but not both) of the summand equations is replaced with the sum, the resulting system of equations is equivalent to the original system of equations.

Substitution refers to: Substitution)  In a system of linear equations, if the value of one of the variables is known, an equivalent system is generated if that value is substituted into the equations.

Replacement A and B refer to: (Replacement)  In a system of linear equations, replacement of an equation with an equivalent equation produces a system which is equivalent to the original system.