![]() Opposite coefficients, so that the sum is zero. In this method, we add two terms with the same variable, but Third method of solving systems of linear equations is the addition Solving Systems of Equations in Two Variables by the Addition Method This work is licensed under a Creative Commons Attribution 4.0 License. Yes, but the method works best if one of the equations contains a coefficient of 1 or –1 so that we do not have to deal with fractions. Ĭheck the solution by substituting into both equations.Ĭan the substitution method be used to solve any linear system in two variables? Now, we substitute into the first equation and solve for. Now we can substitute the expression for in the second equation. Solve the following system of equations by substitution.įirst, we will solve the first equation for. Solving a System of Equations in Two Variables by Substitution If possible, write the solution as an ordered pair.
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