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in this video we're going to talk about how to use the elimination method to solve a system of linear equations we're going to go over examples where we have two variables and three variables as well but let's start with a simple example so let's say that 2x + y is equal to 5 and 3x - Y is also equal to 5 so how can we find the value of X and Y by the way whenever you have two variables you need two equations to solve it to use elimination method we need to add the two equations notice that if we add the two equations the Y variable cancels y + y is equal to zero 2x + 3x is 5 so therefore 5x is equal to 5 + 5 which is 10 so now we could find the value of x what we need to do is divide both sides by five 5 ID 5 is 1 1 x is the same as X and 10 / 5 is 2 so X is equal to 2 now that we have the value of x what we need to do is plug it back in into one of the original equations to get the value of y let's use the first one so let's replace x w

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