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Introduction To Euclid's Geometry

Question
CBSEENMA9002165
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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

Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Solution

When  C = 0, then]
 space space space space space space space space space space space space space space space space space straight F equals open parentheses 9 over 5 close parentheses straight C plus 32 space rightwards double arrow space space space space space space space space space space space space space space straight x space equals open parentheses 9 over 5 close parentheses straight x plus 32 rightwards double arrow space space space space space space space space space space space space space open parentheses 9 over 5 close parentheses straight x minus straight x equals negative 32 rightwards double arrow space space space space space space space space space space space space space open parentheses 4 over 5 close parentheses straight x equals space minus space 32 rightwards double arrow space space space space space space space space space space space space space space straight x space equals space minus fraction numerator 32 cross times 5 over denominator 4 end fraction rightwards double arrow space space space space space space space space space space space space space space straight x space equals space minus 40
therefore   Numerical value of required temperature = -40.

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

Write each of the following as an equation in two variables:

(i) x = – 5 (ii) y = 2

(iii) 2x = 3 (iv) 5y = 2.

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