Answered

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Given the equation:

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

Solve for [tex]\( F \)[/tex].


Sagot :

Sure, let's solve the given equation for [tex]\( F \)[/tex]:

We start with the given equation:
[tex]\[ C = \frac{5(F - 32)}{9} \][/tex]

Step-by-step, we will solve for [tex]\( F \)[/tex]:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 9 to get rid of the denominator:
[tex]\[ 9C = 5(F - 32) \][/tex]

### Step 2: Isolate the term involving [tex]\( F \)[/tex]
Divide both sides of the equation by 5 to isolate the term involving [tex]\( F \)[/tex]:
[tex]\[ \frac{9C}{5} = F - 32 \][/tex]

### Step 3: Solve for [tex]\( F \)[/tex]
Finally, add 32 to both sides of the equation to solve for [tex]\( F \)[/tex]:
[tex]\[ F = \frac{9C}{5} + 32 \][/tex]

Thus, the equation solved for [tex]\( F \)[/tex] is:
[tex]\[ F = \frac{9C}{5} + 32 \][/tex]