/*! 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. In the following exercises, Solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q 5. (page 385)

In the following exercises, Solve the system of equation by graphing

3x+y=-32x+3y=5

Short Answer

Expert verified


The solution of the system of linear equations is (-2,3).

Step by step solution

01

Step 1. Given information

The given linear equations are,

3x+y=-32x+3y=5

02

Step 2. Solving equations for the intersection points  

First, solve both of these equations for y such that their slopes and y intercepts may be easily graphed.

And find the slope and y-intercept by solving the first equation for y

3x+y=-3y=-3x-3Heretheslopeism=-3Andthey-interceptisb=-3

Again find the slope and y-intercept by solving the Second equation for y.

2x+3y=53y=-2x+5y=-23脳x+53Heretheslopeism=-23Andthey-interceptisb=53

03

Step 3. Graph obtained

04

Step 4. Checking the values

Check:Firstsubstitutex=-2,y=3intotheequation3x+y=-33x+y=-33(-2)+3=-3Alsosubstitutex=-2,y=3intotheequation2x+3y=52x+3y=52(-2)+3(3)=5-4+9=55=5Thisistrue.Therefore,thesolutionofthesystemoflinearequationsisthatboxed(-2,3)

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 system by graphing:2x+y=6x+y=12x+y=6x+y=1

Solve the system of equations by substitution

y=x-6y=-32x+4

The sum of two number is 15. One number is 3less than the other. Find the numbers.

The sum of two number is 30. One number is 4less than the other. Find the numbers.

Translate to a system of equation and solve.

The difference of two supplementary angles is88 degrees. Find the measures of the angles.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Mechanics 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.