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.

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test).