# The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F - 160)/9. If the temperature is 0°C what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius

**Solution:**

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

We have to find the temperature in Celsius if the __temperature__ is 0°C

The relation can be rewritten as

9C = 5F - 160

5F = 9C + 160

Given, C = 0°C

5F = 9(0) + 160

5F = 160

F = 160/5

F = 32°F

Therefore, the temperature is 32°F

We have to find the temperature in Fahrenheit if the temperature is 0°F

The relation can be rewritten as

9C = 5F - 160

Given, F = 0°F

9C = 5(0) - 160

9C = 0 - 160

9C = -160

C = (-160/9)°C

Therefore, the temperature is (-160/9)°C

**✦ Try This: **The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F-160)/9. If the temperature is 40°C what is the temperature in Fahrenheit and if the temperature is 184°F, what is the temperature in Celsius?

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

**NCERT Exemplar Class 9 Maths Exercise 4.4 Problem 4(iii)**

## The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F - 160)/9. If the temperature is 0°C what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius

**Summary:**

The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = (5F - 160)/9. If the temperature is 0°C, the temperature in Fahrenheit is 32°F. If the temperature is 0°F, the temperature in Celsius (-160/9)°C

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