Learn how to solve systems of 3 equations using the elimination method in this free math video tutorial by marios math tutoring009 explanation of how the . To use elimination to solve a system of three equations with three variables follow this procedure write all the equations in standard form cleared of decimals or fractions choose a variable to eliminate then choose any two of the three equations and eliminate the chosen variable. Although you can indeed solve 3 variable systems using elimination and substitution as shown on this page you may have noticed that this method is quite tedious the most efficient method is to use matrices or of course you can use this online system of equations solver . Using the elimination method to solve a three variable linear equation a three variable linear equation is a bit more difficult to solve compared to equations with two variables this complexity is a result of the additional variable although there are several methods for solving this type of equation the elimination method remains the most straightforward follow the procedure below to use