In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:

$straight F equals open parentheses 9 over 5 close parentheses straight C plus 32$

If the temperature is 95°F, what is the temperature in Celsius?

Solution

When C = 0, Then $straight F equals open parentheses 9 over 5 close parentheses 0 plus 32 equals 32$
$therefore$ Required temperature = 32⁰F
When F = 0, then
$space space space space space space space space space space space space space space space straight F equals open parentheses fraction numerator cross times 9 over denominator 5 end fraction close parentheses straight C plus 32 rightwards double arrow space space space space space space space space space space space straight O space equals open parentheses 9 over 5 close parentheses straight C plus 32 rightwards double arrow space space space space space space space space space space open parentheses 9 over 5 close parentheses straight C equals negative 32 rightwards double arrow space space space space space space space space space straight C equals negative fraction numerator 32 cross times 5 over denominator 9 end fraction equals negative 160 over 9$
$therefore$ Required temperature = $negative 160 over 9 degree straight C$

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

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Introduction To Euclid's Geometry

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

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For Daily Free Study Material Join wiredfaculty

Introduction To Euclid's Geometry

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:If the temperature is 95°F, what is the temperature in Celsius?

Some More Questions From Introduction to Euclid's Geometry Chapter

Express the following statement as a linear equation in two variables by taking present ages (in years) of father and son as x and y, respectively. Age of father 5 years ago was two years more than 7 times the age of his son at that time.

Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation