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Published on Jun 25, 2013
Math Guide: http://www.shmoop.com/systems-equatio... To solve systems of linear equations in three variables first manipulate the equations to cancel out one variable, leaving you with two. Next, solve for one of the two remaining variables and plug it in to a different equation. Keep simplifying until you have solved for one variable, then plug in the numbers to get the other two, and you have your three variable answers.