Chapter 4, Problem 20RE

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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.What temperature should an object be if its Celsius temperature is half its Fahrenheit temperature?

To determine

To calculate: The temperature at which the object should be if its Celsius temperature is half its Fahrenheit 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:

5Fā9C=160

Also the Celsius temperature of the object is half its Fahrenheit temperature.

Formula used:

Elementary row operations:

Type 1: Replacing the row Ri by aRi, where a is a nonzero number.

Type 2: Replacing the row Ri by aRiĀ±bRj, where a is a nonzero number.

Calculation:

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

5Fā9C=160

It is given that the Celsius temperature of the object is half its Fahrenheit temperature.

Represent the provided conditions in equation form,

C=12F12FāC=0 ā¦ā¦ (1)

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

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