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The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F - 160)/9. What is the numerical value of the temperature which is same in both the scales

Solution:

Given, the linear equation that converts Fahrenheit (F) to Celsius (C) is C = (5F - 160)/9

Given, C = F

We have to find the numerical value of the temperature.

The relation can be rewritten as

9C = 5F - 160

Substitute C = F in the given relation,

9F = 5F - 160

9F - 5F = -160

4F = -160

F = -160/4

F = -40

Therefore, the numerical value of the temperature is - 40.

✦ Try This: The formula for converting from Fahrenheit to Celsius temperatures is y = (5x/9) - (160/9). Find the inverse of this function and determine whether the inverse is also a function

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.4 Problem 4(iv)

The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F - 160)/9. What is the numerical value of the temperature which is same in both the scales

Summary:

The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F - 160)/9. The numerical value of the temperature which is same in both the scales is -40

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