Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q 79 (page 404)

The sum of two numbers is

-45. Their difference is -89.

Find the numbers.

Short Answer

Expert verified

The numbers are-67&22.

Step by step solution

01

Step 1. Given

Sum=-45and the difference is-89.

02

Step 2. Calculation

Let the numbers arex&y

Therefore,x+y=-45

and the difference isx-y=-89

Add the two equations,

x+y=-45&x-y=-89x+y+x-y=-45+(-89)2x=-134x=-67

Now put value ofxin any equation and find the value of y.

x+y=-45-67+y=-45y=-45+67y=22

Therefore the numbers are-67&22

03

Step 3. Verification

Verify the equation,

x+y=-45-67+22=-45-45=-45

LHS is equal to RHS

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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 of equations by substitution

-2x+2y=6y=-3x+1

Two angles are supplementary. The measure of the larger angle is five less than four times the measure of the smaller angle. Find the measure of both angles.

Translate to a system of equations and solve.

Owen is making lemonade from concentrate. The number of quarts of water he needs is 4 times the number of quarts of concentrate. How many quarts of water and how many quarts of concentrate does Owen need to make 100 quarts of lemonade?

Translate to a system of equations and solve:

The box office at a movie theater sold 147tickets for the evening show, and receipts totaled \(1302. How many

\)11adult and how many $8child tickets were sold?

Solve the system by graphing:-x+y=13x+2y=12
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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.

Sign-up for free