High School

The relationship between Fahrenheit and Celsius scales is given by [tex]F = \frac{9}{5}C + 32[/tex]. Determine the value in Celsius when [tex]F = -3[/tex].

Answer :

At F = -3, the equivalent temperature in Celsius is -19.44 degrees Celsius.

What is a linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

The given relationship between Fahrenheit (F) and Celsius (C) scales is:

F = (9/5)C + 32

We are given that F = -3, so we can substitute this value into the equation and solve for C:

-3 = (9/5)C + 32

Subtracting 32 from both sides, we get:

-3 - 32 = (9/5)C

Simplifying the left side, we get:

-35 = (9/5)C

Multiplying both sides by 5/9, we get:

C = (-35) (5/9)

C = -19.44

Therefore, when F = -3, the equivalent temperature in Celsius is -19.44 degrees Celsius. Answer: -19.44.

To learn more about the linear equation;

https://brainly.com/question/29739212

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-3 = 9C/5 + 32

9C/5 = - 32 - 3

9C/5 = - 35

9C = - 175

C = -175/9

C = - 19.44