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Solve for the indicated variable. Include all of your work in your answer.

[tex]\[ C = \frac{5(F-32)}{9} \quad \text{for} \quad F \][/tex]

Submit your solution.

Sagot :

GinnyAnswer
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].
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