x = 9

–4x − 4y = 4

1 answer

To solve the equation \( -4x - 4y = 4 \) for \( y \) when \( x = 9 \), we can substitute \( x = 9 \) into the equation.

Starting with the original equation:

\[ -4(9) - 4y = 4 \]

Calculating \( -4(9) \):

\[ -36 - 4y = 4 \]

Now, we want to isolate \( y \). First, we can add \( 36 \) to both sides of the equation:

\[ -4y = 4 + 36 \]

Which simplifies to:

\[ -4y = 40 \]

Next, we divide both sides by \( -4 \):

\[ y = \frac{40}{-4} \]

So,

\[ y = -10 \]

Thus, when \( x = 9 \), the value of \( y \) is \( -10 \).

The solution is:

\[ y = -10 \]