Find the value of p if x=2 ,y=3 is a solution of equation 5x+3py =4a

Answer

To find the value of \( p \) given that \( x = 2 \) and \( y = 3 \) is a solution of the equation \( 5x + 3py = 4a \), we can follow these steps:

### Step 1: Write the given equation
The equation provided is:
\[ 5x + 3py = 4a \]

### Step 2: Substitute the values of \( x \) and \( y \)
Since we know that \( x = 2 \) and \( y = 3 \), we substitute these values into the equation:
\[ 5(2) + 3p(3) = 4a \]

### Step 3: Simplify the equation
Now, we simplify the left side:
\[ 10 + 9p = 4a \]

### Step 4: Rearrange the equation to isolate \( p \)
Next, we want to isolate \( p \). We can rearrange the equation:
\[ 9p = 4a - 10 \]

### Step 5: Solve for \( p \)
Now, divide both sides by 9 to solve for \( p \):
\[ p = \frac{4a - 10}{9} \]

### Final Answer
Thus, the value of \( p \) in terms of \( a \) is:
\[ p = \frac{4a - 10}{9} \]