Section: Module 3: Lesson 2: Solving Systems of Linear Equations (Simultaneous Equations) in Two Variables | Intro to Algebra & Trigonometry | NextGenU.org

  • Student Learning Outcomes:
    Upon completion of this lesson, you will be able to:
    • Define a system of linear equations.
    • Determine whether an ordered pair is a solution to a system of Linear equations.
    • Solve a system of linear equations by substitution and elimination.
    • Identify an inconsistent system of linear equations.
    • Express the solution to a system of dependent equations.
    • Choose the most convenient method to solve a system of linear equations.
    Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 45 minutes.

    • Required Learning Resources and Activities
    • Read Section 11.1: Systems of Linear Equations - Two Variables - Pages 1212-1225. (52 minutes)

      OpenStax College, Rice University - 2021

    • Read section: Choosing the Most Convenient Method to Solve a System of Linear Equations. (3 minutes)

      OpenStax College, Rice University - 2020

    • In this activity, you will study and solve a given case problem by showing your complete solutions.

      Step 1. Review

      Review the learning resources for this lesson before studying the case problem.

      Step 2. Analyze

      Analyze the case problem below.

      965876

      Step 3. Respond

      Respond to the case problem by completing the table below:

      8686

      Step 4. Share

      To share your work, click on the “Add new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

      Step 5: Interact

      To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

      OPTIONAL Step 6: Interact (10 minutes)

      If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


    • Additional Resources for Optional Learning
    • Read the entire page. (45 minutes)