The relationship between degrees Celsius (C) and degrees Fahrenheit (F) is modeled by the linear equation

F=9/5 C+32
Solve this equation for C. (Show all steps.)

Find the Celsius temperature that corresponds to 70 degrees Fahrenheit.

1 answer

To solve the equation F = 9/5 C + 32 for C, we need to isolate C on one side of the equation.

Subtract 32 from both sides:

F - 32 = 9/5 C

Next, multiply both sides by 5/9 to isolate C:

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

Simplifying the right side:

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

Now we can substitute 70 degrees Fahrenheit for F to find the corresponding Celsius temperature:

C = (5/9)(70 - 32)
C = (5/9)(38)
C = 190/9
C ≈ 21.11

Therefore, 70 degrees Fahrenheit is approximately equivalent to 21.11 degrees Celsius.