If ` (4x)/( 3) + 2P = 12` for what vale of P, x = 6 ?

Options

A. 6
B. 4
C. 2
D. 1

Answer

To solve the equation \( \frac{4x}{3} + 2P = 12 \) for the value of \( P \) when \( x = 6 \), follow these steps:

### Step 1: Substitute the value of \( x \)
We start by substituting \( x = 6 \) into the equation.

\[ \frac{4(6)}{3} + 2P = 12 \]

### Step 2: Calculate \( \frac{4(6)}{3} \)
Next, we calculate \( \frac{4(6)}{3} \).

\[ \frac{24}{3} = 8 \]

### Step 3: Rewrite the equation
Now we can rewrite the equation with the calculated value.

\[ 8 + 2P = 12 \]

### Step 4: Isolate \( 2P \)
To isolate \( 2P \), subtract 8 from both sides of the equation.

\[ 2P = 12 - 8 \]

### Step 5: Simplify
Now simplify the right side.

\[ 2P = 4 \]

### Step 6: Solve for \( P \)
Finally, divide both sides by 2 to solve for \( P \).

\[ P = \frac{4}{2} = 2 \]

Thus, the value of \( P \) is \( 2 \).

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