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Home > CC4 > Chapter 3 > Lesson 3.3.1 > Problem 3-114

3-114.

Now David wants to solve the equation . Homework Help ✎

  1. What easier equation could he solve instead that would give him the same solution? (In other words, what equivalent equation has easier numbers to work with?)

  

  • Divide both sides of the equation by a common factor.

x − 2 = 4

  1. Justify that your equation in part (a) is equivalent to by showing that they have the same solution.

 

  • Solve both equations for x.
    x − 2 = 4 4000x − 8000 = 16000
    x = 6 4000x = 24000
    x = 6

The equations have the same answer.

  1. David’s last equation to solve is . Write and solve an equivalent equation with easier numbers that would give him the same answer.

  

  • Multiple both sides of the equation by 100.