/*! 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} Q18. 聽Solve each system of equations... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q18. (page 149)

Solve each system of equations.

x+z=72y鈭�z=鈭�3鈭�x鈭�3y+2z=11

Short Answer

Expert verified

The solution of the given equation x=鈭�2,y=3is andz=9.

Step by step solution

01

– Use elimination method to make a system of two equations in two variables

x+z=72y鈭�z=鈭�3鈭�x鈭�3y+2z=11

....(1)....(2)....(3)

Adding (1) and (3), we get

x+z鈭�7+鈭�x鈭�3y+2z鈭�11=0x+z鈭�7鈭�x鈭�3y+2z鈭�11=03z鈭�3y鈭�18=03z鈭�3y=183(z鈭�y)=18z鈭�y=6

....(4)

02

– Solve the system of two equations

Adding (2) and (4), we get

2y鈭�z+3+z鈭�y鈭�6=02y鈭�z+3+z鈭�y鈭�6=0y鈭�3=0y=3

....(5)

Substituting in equation (4), we get

z鈭�y=6z鈭�3=6z=9

03

– Evaluate the value of x

Substituting the value of y and z in (1), we get

x+z=7x+9=7x=鈭�2

Thus, the values are x=鈭�2,y=3andz=9.

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 each system of equations.

2x鈭�y+z=1x+2y鈭�4z=34x+3y鈭�7z=鈭�8
Fencing Micah has 74 feet of fencing to make a

dog run in his yard. He wants the length to be 2.5 feet

more than the width. Find the length, L, by solving the

equation 2L + 2(L 鈭� 2.5) = 74.

Solve the system of equations by graphing.

x+y=52x-y=4

Asportinggoodsmanufacturermakesa\(5profitonsoccerballsanda\)4profitonvolleyballs.Cuttingrequires2hourstomake75soccerballsand3hourstomake60volleyballs.Sewingneeds3hourstomake75soccerballsand2hourstomake60volleyballs.Cuttinghas500hoursavailable,andsewinghas450hoursavailable.

What is the maximum profit the company can make from these two products?

Six of the 13 members of a club are boys, and the rest are girls. What is the ratio of girls to boys in the club?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Geometry

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.