/*! 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} Q11. Graph each system and determine ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q11. (page 389)

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

x鈭�y=1x+y=5

Short Answer

Expert verified

The graph of the system is

The number of solutions is 1 and name of the solution is 3,2.

Step by step solution

01

Step 1. Graph the system of equations.

The given system of equation is:

x鈭�y=1 鈥� (1)

x+y=5 鈥� (2)

The graph of two equations is drawn as below.

02

Step 2. Determine the number of solutions.

From the graph it can be observed that the two lines intersect at exactly one point. This intersection point of two lines is nothing but the solution set of given system of equation. Therefore, number of solutions of the set of equations if 1.

03

Step 3. Name the solutions, if possible.

Now the intersection point of two straight lines shown by eq. (1) and (2) is 3,2. Therefore, one solution of given system of equation is labelled as 3,2.

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

Corey has 42 feet of fencing around his garden. The garden is rectangular in shape, and its length is equal to twice the width minus 3 feet. Define the variables, and write a system of equations to find the length and width of the garden. Solve the system by using substitution.

Solve each system of inequalities by graphing.

x+y鈮�5y鈮�x+2

Write an inequality for the graph below.

The cost of two groups going to an amusement park is shown in the table.

Group
Total Cost
4adults,2children
\(184
localid="1647549424859" 4adults,localid="1647549450994" 3children
\)200

a. Define variables to represent the cost of an adult ticket and the cost of a child ticket.

b. Write a system of equations to find the cost of an adult ticket and the cost of a child ticket.

c. Solve the systems of equations, and explain what the solution means.

d. How much will a group of 3 adults and 5 children be charged for admission?

Use an augmented matrix to solve each system of equations.

2x鈭�4y=10x+2y=5
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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.