CPM Homework Banner

Home > CCA2 > Chapter 10 > Lesson 10.2.1 > Problem 10-101

10-101.
  1. Solve for x and y in each system below. 10-101 HW eTool (Desmos). Homework Help ✎

    1. 2x + y = 12
      xy = 16

    2. 2x + y = 12
      xy = 20

    3. Explain how the graphs of (a) and (b) relate to the solutions to each system of equations.

Note that other sequences of steps are possible.

When x = 4, y = 4, so (4, 4) is a solution.
When x = 2, y = 8, so (2, 8) is a solution.

Now try part (b) on your own.

y = 12 − 2x

x(12 − 2x) = 16

12x − 2x2 − 16 = 0

x2 − 6x + 8 = 0

(x − 4)(x − 2) = 0

x = 4 or x = 2

Use the eTool below to help you with this problem.
Click the link at right for the full version of the eTool: 10-101 HW eTool.