/*! 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. 5.52 Solve the system by elimination.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 5.52 (page 618)

Solve the system by elimination.

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

Short Answer

Expert verified

The solution of the given system is(x,y)=(-2,5).

Step by step solution

01

Step 1.Given information

The given system isx+y=3-2x-y=-1

02

Step 2. Solve for x

Add both equations

x+y=3-2x-y=-1-x=2Solveforxx=-2

03

Step 3. Solve for y

x+y=3Firstequation-2+y=3Substitutex=-2y=3+2Solveforyy=5

Hence, the solution is(x,y)=(-2,5).

04

(x,y)=(-2,5).Step 4.Solve for y

Substitute(x,y)=(-2,5)in system of equations

role="math" localid="1647869122274" x+y=3鈬�-2+5=33=3true-2x-y=-1鈬�-2(-2)-5=-14-5=-1-1=-1true

Both equations are true.

Hence, the solution is(x,y)=(-2,5).

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 the following exercises, solve the following systems of equations by graphing.

x-y=32x-y=4

In the following exercises, translate to a system of equations and solve.

Darrin is hanging 200 feet of Christmas garland on the three sides of fencing that encloses his rectangular front yard. The length, the side along the house, is five feet less than three times the width. Find the length and width of the fencing.

Determine whether an ordered pair is a solution of a system of equations. In the following exercises, determine if the following points are solutions to the given system of equations.

-3x+y=8-x+2y=-9

(a)(-5,-7)

(b)(-5,7)

Solve a System of Equations by Elimination -

5x-7y=29x+3y=-3

Solve a System of Equations by Elimination -

-x+4y=83x+5y=10
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Statistics

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.