Solving Systems by Elimination

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In this section, we learn about Solving Systems by Elimination. We will continue to learn about systems of linear equations in two variables. In this section, we focus on obtaining our solution via the elimination method. This is another method that is more practical than graphing. To solve a system of linear equations by elimination, we begin by placing both equations in standard form: ax + by = c. Once this is done, we transform one or both equations so that one pair of variable terms are opposites. We then add the left sides of the equations together and set this equal to the sum of the right sides. Next, we solve for one of the unknowns, after we can plug in the result to either original equation and find the other unknown. Lastly, we want to check our result in each original equation to ensure our solution is correct.
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