/*! 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. 107 In the following exercises, tran... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 107 (page 612)

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

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

Short Answer

Expert verified

The numbers are 6 and 9

Step by step solution

01

Step 1. Given Information 

The given data is that the sum of two numbers is 15. One number is 3 less than the other.

02

Step 2. Calculation 

Let us assume that x be the first number and y be the second number.

The sum of two number is 15 implies that x+y=15--(1)

One number is 3 less than the other implies that x=y-3--(2)

Substitute the value of variable x from equation (2) in equation (1).

localid="1647449889617" x+y=15y-3+y=152y=18y=9

Find the value of variable x by using the obtained value of y.

localid="1647449918198" x=y-3x=9-3x=6

Thus, the required ordered pair is(9,6)

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, translate to a system of equations and solve.

The difference of two complementary angles is 68 degrees. Find the measures of the angles.

In the following exercises, solve the systems of equations by substitution.

y=-14xx+4y=8

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

The age of Noelle鈥檚 dad is six less than three times Noelle鈥檚 age. The sum of their ages is seventy four. Find their ages.

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

June needs 48 gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is five times as large as the smaller cooler. How many gallons can each cooler hold?

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

-3x+y=-12x+y=4
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Decision 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.