find the value of $$ P $$ $$ 3=\frac{4}{1-\frac{p}{4}} $$ $$ 3=4 imes \frac{4}{4-P} $$

Question

find the value of $$ P $$ $$ 3=\frac{4}{1-\frac{p}{4}} $$ $$ 3=4 	imes \frac{4}{4-P} $$

UpStudy AI · Accepted Answer

To find the value of $$ P $$ from the given equations, let's solve step by step.

### Given Equations:
1. $$ 3 = \frac{4}{1 - \frac{P}{4}} $$
2. $$ 3 = 4 \times \frac{4}{4 - P} $$

Both equations are essentially the same, just rearranged differently. We'll use the first form to solve for $$ P $$.

### Step-by-Step Solution:

1. **Start with the first equation:**
   $$
   3 = \frac{4}{1 - \frac{P}{4}}
   $$

2. **Multiply both sides by the denominator to eliminate the fraction:**
   $$
   3 \left(1 - \frac{P}{4}\right) = 4
   $$

3. **Distribute the 3 on the left side:**
   $$
   3 - \frac{3P}{4} = 4
   $$

4. **Subtract 3 from both sides to isolate the term with $$ P $$:**
   $$
   -\frac{3P}{4} = 1
   $$

5. **Multiply both sides by $$ -\frac{4}{3} $$ to solve for $$ P $$:**
   $$
   P = -\frac{4}{3}
   $$

### Conclusion:
The value of $$ P $$ is:

$$
P = -\frac{4}{3}
$$

**Final Answer:**  
$$ P = -\dfrac{4}{3} $$
$$ P = -\dfrac{4}{3} $$

find the value of \( P \) \( 3=\frac{4}{1-\frac{p}{4}} \) \( 3=4 \times \frac{4}{4-P} \)