Solving Linear Systems in Three Variables

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In this section, we will learn how to solve a linear system when three variables are involved. Since we are now dealing with three variables instead of two, our solution will change from an ordered pair: (x,y), to an ordered triple: (x,y,z). Now, to solve a linear system with three variables, first we eliminate a variable from any two of the equations. Next, we eliminate the same variable from a different pair of equations. This will lead to a two-variable system with two equations. We can solve this system and find two of our unknowns. We can then plug into one of our original equations to find the third and final unknown.
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