Question

temperatures in degrees Fahrenheit can be converted in degrees Celsius using the formula , C=5(F-32)/9

Answer 1

Given:

C = 5(F - 32) / 9

To find:

Make D the subject of the formula.

Give the answer in the form $\frac{aC + b}{c}$.

Solution:

C = 5(F - 32) / 9

Move 9 to the left-hand side, it will get multiplied with C

C × 9 = 5(F - 32)

9C = 5(F - 32)

Now, move 5 to the left-hand side, it will get divided with the whole term

9C/5 = F - 32

Now, move 32 to the left-hand side, it will get added with the whole term

9C/5 + 32 = F

$\frac{9C}{5} + 32 = \frac{9C + 5 * 32}{5} = \frac{9C + 160}{5}$

From the above formula, we get

a = 9

b = 160

c = 5