Systems of Equations Overview pt 1

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
9963 views | 1 rating
Part of video series
Meets NCTM Standards:
Errors in this video:

At the 4:13 mark, the second equation is listed as x + 2y = 9, but it should say x + y = 9.

Lesson Summary:

In this lesson, we are introduced to the concept of systems of equations, which are linear equations that can be written as lines. We learn that there are three methods for solving systems of equations: the graphing method, the substitution method, and the addition method. Using a brain teaser puzzle as an example, we see how to define variables and write equations to represent the problem. The lesson also includes a brief demonstration of how to solve the puzzle using each of the three methods, setting the stage for more in-depth tutorials on each method in subsequent videos.

Lesson Description:

Part I of Solving Linear Systems of Equations with 2 variables. Part 1 is an overview of how to solve systems

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Questions answered by this video:
  • What are systems of equations?
  • If John has 2 children, Mia and Juan, Mia is twice as old as Juan, and the sum of their ages is 9, how old are Mia and Juan?
  • How do you solve word problems to find the ages of people using variables and not guess and check?
  • If x = 2y and x + y = 9, what are x and y?
  • What is a system of linear equations?
  • What are the Algebraic methods for solving a system of equations?
  • How do you solve y = 2x, x + y = 9?
  • How do you find an ordered pair that is a solution to two different equations?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson explains what systems of equations are and how to write them from word problems. However, no systems are solved algebraically in this video. That is left to the next video. This is just an overview of what methods are available and what it means to solve a system of linear equations.