Question

The national weather service reports the daily temperature in degrees

Fahrenheit. The scientific community reports temperature in degrees Celsius.
The formula F = 1.8C + 32 relates Celsius, C, to Fahrenheit F Solve the formula
for C.

Answer 1

`C =(5)/(9)(F - 32)`

Explanation:

Given

`F = 1.8C + 32`

Required

Solve for C

`F = 1.8C + 32`

Subtract 32 from both sides

`F-32 = 1.8C + 32-32`

`F-32 = 1.8C`

Divide both sides by 1.8

`(1)/(1.8)(F - 32) = C`

Express the decimal as fraction

`(1)/(18/10)(F - 32) = C`

`(10)/(18)(F - 32) = C`

Simplify

`(5)/(9)(F - 32) = C`

`C =(5)/(9)(F - 32)`