Given that $y = 2x$ and $3^{x+y} = 27$, we need to find the value of $x$.

1. Problem Description

Given that $y = 2x$ and $3^{x+y} = 27$, we need to find the value of $x$.

2. Solution Steps

We are given two equations:

$y = 2x$ (1)

$3^{x+y} = 27$ (2)

We can rewrite equation (2) as:

$3^{x+y} = 3^3$

Since the bases are equal, we can equate the exponents:

$x+y = 3$ (3)

Now, substitute equation (1) into equation (3):

$x + 2x = 3$

$3x = 3$

$x = \frac{3}{3}$

$x = 1$

3. Final Answer

The value of $x$ is 1.