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Home > CCA > Chapter 10 > Lesson 10.1.1 > Problem 10-17

10-17.

Now David wants to solve the equation 4000x – 8000 = 16,000. 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 the greatest common factor.

  • x − 2 = 4

  1. Justify that your equation in part (a) is equivalent to 4000x – 8000 = 16,000 by showing that they have the same solution.

  • Solve both equations for x.

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

  • Multiply both sides of the equation by 100.