The substitution method is typically used when one of the equations in the system is already solved for one of the variables. We also already mentioned that the “structure” of the system will determine which of the solving methods to use. That means that if you substitute that point into BOTH equations, you will have a “true” statement. Key idea: Anytime we have two true equations, we can add or subtract them to create another true equation. ![]() First, we need to understand that it's okay to add equations together. About Elimination Use elimination when you are solving a system of equations and you can quickly eliminate one variable by adding or subtracting your equations together. To solve a system of two equations with two variables, we are trying to find the exact point that satisfies both equations. In this article, we're going to be solving systems of linear equations using a strategy called elimination. Calculate it Example (Click to try) x y5 x 2y7 Try it now Enter your equations separated by a comma in the box, and press Calculate Or click the example. So to solve by elimination, what we do is were going to add these two equations together so that one of the two variables essentially gets eliminated, gets canceled out. This video will focus on two of the algebraic approaches, namely substitution and elimination. And they gave us two equations here- x plus 2y is equal to 6 and 4x minus 2y is equal to 14. Some systems can easily be solved by graphing both equations and determining the exact point of intersection, while other systems are more suitable to be solved. The process of solving a system depends on the structure of the equations. by either adding or subtracting the equations to eliminate a letter. “Solving” a system of equations means to determine the exact \((x,y)\) coordinate that satisfies both of the equations in the system. Corbettmaths - This video shows you how to solve simultaneous equations using the elimination method, i.e. ![]() ![]() Hi, and welcome to this video on using substitution and elimination to solve linear systems!
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