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Linear Equations in Two Variables

Long Answer Type

61. Yamini and Fatima, two students of Class IX of a school, together contributed Rs 100 towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs x and Rs y.) Draw the graph of the same.

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Short Answer Type

62. 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

Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.

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63. 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 30°C, what is the temperature in Fahrenheit?

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64. 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?

When F = 95, then

$space space space space space space space space space space space space space F equals open parentheses 9 over 5 close parentheses C plus 32 rightwards double arrow space space space space space space space space space space 95 space equals space open parentheses 9 over 5 close parentheses C plus 31 rightwards double arrow space space space space space space space space space open parentheses 9 over 5 close parentheses C equals 95 minus 32 rightwards double arrow space space space space space space space space space open parentheses 9 over 5 close parentheses C equals 63 rightwards double arrow space space space space space space space space space space C equals fraction numerator 63 cross times 5 over denominator 9 end fraction rightwards double arrow space space space space space space space space space space C space equals 35$

$therefore$ Required temperature = 35⁰C

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65. 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?

114 Views

66. 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.

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67. Draw the graph of the equation 3x + y = 8. Use it to find some solutions of the equation and check from the graph whether x = 2, y = 2 is a solution.

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68. Force applied on a body is directly proportional to the acceleration produced in the body. Write an equation to express the situation and plot the graph of the equation taking constant to be 5 units.

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