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Solve [tex]P = 2 + 2w[/tex] for [tex]w[/tex].

A. [tex]w = \frac{P + 2}{2}[/tex]
B. [tex]w = \frac{P - 2}{I}[/tex]
C. [tex]w = \frac{P - 2}{2}[/tex]
D. [tex]w = P - 2 - I[/tex]

Sagot :

GinnyAnswer
To solve the equation \( P = 2 + 2w \) for \( w \), we need to isolate the variable \( w \). Here is a step-by-step solution:

1. Start with the given equation:
[tex]\[ P = 2 + 2w \][/tex]

2. Isolate the term containing \( w \):
To do this, subtract 2 from both sides of the equation:
[tex]\[ P - 2 = 2w \][/tex]

3. Solve for \( w \):
Next, divide both sides by 2 to isolate \( w \):
[tex]\[ w = \frac{P - 2}{2} \][/tex]

Therefore, the solution to the equation \( P = 2 + 2w \) is:
[tex]\[ w = \frac{P - 2}{2} \][/tex]

From the given options, the correct one is:
C. [tex]\( w = \frac{P - 2}{2} \)[/tex]
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