Chapter 6: Q5. (page 361)

Graph each system and determine the number of solutions that it has. If it has one solution, name it.
$\begin{matrix} x + y = 8 \\ 3 x + 3 y = 24 \end{matrix}$

Short Answer

Expert verified

The required count of solution is infinite.

Step by step solution

Step 1. Make the required graph.

Represent the provided equations in the form of graphs.

Step 2. Determine the count of solutions.

The provided equation has infinite solution because the graphs of the provided equations are meeting at all the points.

Step 3. Write the conclusion.

The obtained count is not finite that is why it is the required solution.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Graph each system and determine the number of solutions that it has. If it has one solution, name it.
$\begin{matrix} x + y = 8 \\ 3 x + 3 y = 24 \end{matrix}$

Short Answer

Step by step solution

Step 1. Make the required graph.

Step 2. Determine the count of solutions.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Graph each system and determine the number of solutions that it has. If it has one solution, name it. x+y=83x+3y=24

Short Answer

Step by step solution

Step 1. Make the required graph.

Step 2. Determine the count of solutions.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Graph each system and determine the number of solutions that it has. If it has one solution, name it.
$\begin{matrix} x + y = 8 \\ 3 x + 3 y = 24 \end{matrix}$