Solving Systems of Equations by Addition pt 1

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Taught by YourMathGal
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Lesson Summary:

Learn how to solve systems of equations using the addition method in this lesson. This method is particularly useful when equations are in the form AX plus BY equals C, making it difficult to solve for X or Y. By multiplying equations by the least common multiple of coefficients, we can achieve opposite coefficients and eliminate a variable. With an ordered pair solution in hand, the lesson concludes with a step-by-step guide on how to check the answer.

Lesson Description:

Part 7 of Solving Linear Systems of Equations with 2 variables. Includes examples using the Addition (Elimination) Method.

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Questions answered by this video:
  • What is the addition or elimination method of solving systems of equations?
  • How do you solve a system of equations if no variable is by itself?
  • How do you solve the system 6x - 5y = 25 and 4x + 15y = 13 by elimination or addition?
  • How do you get a variable to cancel out when using the elimination method of solving systems of equations?
  • How do you solve the system 18x - 15y = 75 and 4x + 15y = 13?
  • If you know what x equals in a system of equations, how do you find y without doing elimination again?
  • How can you check your answer to a system of equations?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson explains how / why the elimination / addition method of solving systems of equations works. Then, an example problem is shown, solved, and the solution is checked. This is a great introduction to this method of solving systems of linear equations. All steps are shown and explained very well.