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Home > CC4 > Chapter 3 > Lesson 3.2.3 > Problem 3-105

3-105.

While David was solving the equation 100x + 300 = 500, he wondered if he could first change the equation to x + 3 = 5. What do you think? Homework Help ✎

  1. Solve both equations and verify that they have the same solution.

    Solve both equations for x.
    x + 3 = 5 100x + 300 = 500
    x = 2 100x = 200
    x = 2

    They have the same solution.

  2. What could you do to the equation 100x + 300 = 500 to change it into x + 3 = 5?

  • Is there a common factor in the first equation?