/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 15 In Problems 5鈥�24, graph each e... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 15 (page 772)

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

y=3x-5;x2+y2=5

Short Answer

Expert verified

The graph of the system of equations y=3x-5;x2+y2=5is:

Step by step solution

01

Step 1. Given

The system of non-linear equation:

y=3x-5;x2+y2=5

To graph the equation and to find the point of intersection.

02

Step 2. Graph the equations

Graph the equations in the same plane.

03

Step 3. To find the point of intersection.

Substitute the second equation in the first equation,

x2+(3x-5)2=5 x2+9x2+30x-25=510x2+30x-20=0x2+3x-2=0

04

Step 4. Solve the equation

x2-3x+2=0(x-2)(x-1)=0x=1,2

05

Step 5. Find y 

When x=1,

y=3x-2=3(1)-5=-2

When x=2,

y=3(2)-5=6-5=1

The points of intersection are (1,-2),(2,1)

06

Step 6. Plot the point of intersection

The graph of the system of non-linear equations with the point of intersection is:

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2=y;xy=1

Graph the equation:y=3x+2

Verify that the values of the variables listed are solutions of the system of equations.

x-y=312x+y=3x=4,y=1;4,1

solve each system of equations. If the system has no solution, say that it is inconsistent.

x + y - z = 6

3x - 2y + z = -5

x + 3y - 2z = 14

In Problems, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

x5+x4-x2+2x4-2x2+1
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.