Given f = 1.8°c + 32, what is the value of °c if °f is 106.6?

The given equation is
F=1.8 °C+32
We know that C represents the number of degrees in Celsius where degrees Fahrenheit and degrees Celsius are the same. Based on that information we can assume an equation such as: C=F

Since the statement provided tells us that degree Fahrenheit and degree Celsius are the same. Because of this assumption, we can substitute C in for F and begin solving.

F=1.8 °F+32

Subtraction property of Equality

F-1.8 °F=1.8 °F-1.8 °F+32

-0.8 °F=32

Combine like terms
0.8 °F 32
- =
(-0.8). (-0.8)

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