/*! 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. 45 Solve each system of equations. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 45 (page 714)

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

x-y-z=12x+3y+z=23x+2y=0

Short Answer

Expert verified

The system is inconsistent

Step by step solution

01

Given information

We are given a system of equation as

x-y-z=1(1)2x+3y+z=2(2)3x+2y=0(3)

02

Add equation 1 and 2

We get,

x-y-z=1+2z+3y+z=23x+2y=3

But from equation 3 we have 3x+2y=0

As same equation cannot have different values

Hence the system is inconsisitent

03

Conclusion

The given system of equation is inconsistant

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

Graph each inequality by hand.

2x+y鈮�6

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

4x-5z=65y-z=-17-x-6y+5z=24x=4,y=-3,z=2;4,-3,2

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

2x-3y-z=03x+2y+2z=2x+5y+3z=2

Graph each equation of the system. Then solve the system to find the points of intersection.
y=x2+1y=4x+1

Constructing a Box: A rectangular piece of cardboard, whose area is 216 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. See the figure. If the box is to have a volume of 224 cubic centimeters, what size cardboard should you start with?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.