/*! 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}

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q 4.70 (page 429)

Solve the system by equations:

x鈭�y鈭�z=1鈭�x+2y鈭�3z=鈭�43x鈭�2y鈭�7z=0

Short Answer

Expert verified

There are infinitely many number of solutions of given system of equations.

Step by step solution

01

Step 1. Given Information

We are given a system of linear equation,

x鈭�y鈭�z=1-(1)鈭�x+2y鈭�3z=鈭�4-(2)3x鈭�2y鈭�7z=0-(3)

02

Step 2. Solving the equations 

Adding first and second equation, we get

x-x-y+2y-z-3z=1-4y-4z=-3-(4)

Now, multiplying by 3in second equation, we get

role="math" localid="1644580632346" 3(-x+2y-3z)=3(-4)-3x+6y-9z=-12-(5)

Now, subtracting third and fifth equation, we get

-3x+3x+6y-2y-9z-7z=-12+04y-16z=-12y-4z=-3-(6)

Now, subtracting sixth and fourth equation, we get

y-y-4z+4z=-3+30=0

This is not true hence the given system has no 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.

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

Solve the systems of equations by substitution.

2x+y=-23x-y=7

Without graphing, determine the number of solutions and then classify the system of equations.

y=23x+1-2x+3y=5

A small jet can fly 1435miles in 5hours with a tailwind but only 1215miles in 5hours into a headwind. Find the speed of the jet in still air and the speed of the wind.

Solve the system of equations by substitution and explain all your steps in words:

3x+y=12x=y-8

Translate to a system of equations and then solve:

A commercial jet can fly 1,728miles in 4hours with a tailwind but only 1,536miles in hours into a headwind. Find the speed of the jet in still air and the speed of the wind.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

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.