Chapter 11: Q. 192 (page 1147)

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = \frac{3}{2} x + 3 \\ y = - x^{2} + 2 \end{cases}$

Short Answer

Expert verified

There is no solution to this system of equations.

Step by step solution

Step 1. Given Information

The given system of equations is

$\{\begin{cases} y = \frac{3}{2} x + 3 \\ y = - x^{2} + 2 \end{cases}$ .

Step 2. Graph the Equations

Plot the graphs of the given equations on the same graph.

The blue line represents the first equation and the red line represents the second equation of the system.

Step 3. Determine the point of intersection

From the graph, it is observed that the functions do not intersect.
So, there is no solution to this system of equations.

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.

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = \frac{3}{2} x + 3 \\ y = - x^{2} + 2 \end{cases}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the Equations

Step 3. Determine the point of intersection

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Statistics

Logic and Functions

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.y=32x+3y=-x2+2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the Equations

Step 3. Determine the point of intersection

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Statistics

Logic and Functions

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = \frac{3}{2} x + 3 \\ y = - x^{2} + 2 \end{cases}$