To find the value of \( x \) in the equation \( 3x - 4y = 65 \) when \( y = 4 \), we can substitute \( y \) with 4 and solve for \( x \).
Start by substituting \( y = 4 \):
\[ 3x - 4(4) = 65 \]
This simplifies to:
\[ 3x - 16 = 65 \]
Next, add 16 to both sides:
\[ 3x = 65 + 16 \] \[ 3x = 81 \]
Now, divide both sides by 3 to solve for \( x \):
\[ x = \frac{81}{3} \] \[ x = 27 \]
Therefore, the value of \( x \) is \( 27 \).
So, the response is:
x = 27