Sure, let's solve for the variable [tex]\( F \)[/tex] in the given equation:
[tex]\[ C = \frac{5(F - 32)}{9} \][/tex]
We'll follow these steps to isolate [tex]\( F \)[/tex].
### Step 1: Eliminate the Fraction
To get rid of the fraction, multiply both sides of the equation by 9:
[tex]\[ 9C = 5(F - 32) \][/tex]
### Step 2: Isolate the Term Containing [tex]\( F \)[/tex]
Next, divide both sides of the equation by 5 to get the term containing [tex]\( F \)[/tex] by itself:
[tex]\[ \frac{9C}{5} = F - 32 \][/tex]
### Step 3: Solve for [tex]\( F \)[/tex]
Finally, add 32 to both sides of the equation to isolate [tex]\( F \)[/tex]:
[tex]\[ F = \frac{9C}{5} + 32 \][/tex]
So the solution for [tex]\( F \)[/tex] in terms of [tex]\( C \)[/tex] is:
[tex]\[ F = \frac{9C}{5} + 32 \][/tex]
This is the final expression for [tex]\( F \)[/tex].
