   Chapter 4, Problem 21RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Exercises 19–22 are based on the following equation relating the Fahrenheit and Celsius (or centigrade) temperature scales: 5 F − 9 C = 160 , where F is the Fahrenheit temperature of an object and C is its Celsius temperature.Is it possible for the Fahrenheit temperature of an object to be 1.8 times its Celsius temperature? Explain.

To determine

Whether the Fahrenheit temperature of an object can be equal to 1.8 times its Celsius temperature.

Explanation

Given Information:

The equation relating the Fahrenheit and Celsius scales of temperature where F is the Fahrenheit temperature of the object and C is the Celsius temperature of the object is:

5F9C=160

Also the Fahrenheit temperature of the object is 1.8 times its Celsius temperature.

Consider the given equation relating the Fahrenheit and Celsius scales of temperature:

5F9C=160 …… (1)

It is given that the Fahrenheit temperature of the object is 1.8 times its Celsius temperature. Represent it in equation form,

F=1.8CF1.8C=0 …… (2)

Apply the elimination method to find the solution of the given system of the equations

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