CPM Homework Help : CCA2 Problem 4-40

CPM Homework Banner

Home > CCA2 > Chapter Ch4 > Lesson 4.1.3 > Problem 4-40

4-40.

Solve each of the following systems algebraically. What do the solutions tell you about each system? Visualizing the graphs may help with your description.

$y = 3x − 5$
$y = −2x − 15$
Hint (a):
Use substitution to solve the system.
Answer (a):
The solution to the system is $(−2, −11).$ Describe what that tells you about the system.
More Help (a):
If you can't visualize the system, graph both equations and look at the point $(−2,−11)$ .
If it doesn't look important, check your graphs.

$y − 7 = −2x$
$4x + 2y = 14$
Hint (b):
Rearrange the first equation so it's in $y=$ form. Then use substitution to solve.
More Help (b):
See part (a).

$y = 2(x + 3)^2 − 5$
$y = 14x + 17$
Hint (c):
Use substitution to solve the system.
Answer (c):
The solutions to the system are $(2, 45)$ and $(−1, 3)$ .
Hint 2(c):
If you didn't get the solution given above, check to be sure you squared $(x + 3)$ correctly then distributed the $2$ .
More Help (c):
If you need help with the description, refer to More Help in part (a).

$y = 3(x − 2)^2 + 3$
$y = 6x − 12$
Hint (d):
Refer to part (c).
More Help (d):
How many solutions did you get? What does that tell you about the graphs?

© 2022 CPM Educational Program. All rights reserved.