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

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− 40

45

− 50

55

answer is A.

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Detailed Solution

Given

C = 5 F − 160 9

.
Substitute

C = F in C = 5 F − 160 9

⇒ F = 5 F − 160 9 ⇒ 9 F = 5 F − 160 ⇒ 9 F − 5 F = − 160 ⇒ 4 F = − 160 ⇒ F = − 160 4 ⇒ F = − 40

Therefore, the numerical value of the temperature which is same in both the scales is

− 40

.
Hence, option (1) is correct.

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