To solve this question, you do not need to learn solving systems of equations by elimination calculator. Let us look at the same example of solving systems of linear equations by elimination. If you multiply the second equation by −4 and then add both equations, the y variables will add up to 0. Notice that the first equation contains the termĤy and the second equation contains the term y. First, let us multiply both sides of one of the equations by a number that allows you to eliminate the same variable in the other equation. Let us now see how the multiplication property helps us get the results. ![]() Let us look at an example.Įven after adding the above two equations or adding the opposite of anyone’s equation, you will still get an equation that has two variables. When adding the equations or adding the opposite of one of the equations will not give you the desired result. Here is how you can solve a system of equations when multiplication is necessary to eliminate a variable. Using Multiplication and Addition to Eliminate Variables (The two equations represent the same line.)
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