How To: Solve two linear equations by the elimination method

\When both equations in a linear system are in the form Ax + By = C, you can solve the system using elimination. How is this method different from substitution? The idea behind the elimination method is to create a new equation from a combination of the original equations in the system. The new equation is formed by adding or subtracting the originals. When we combine two true equations, the sum or difference must also be true.

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