x = 5

–9x − 7y = 11
(__,__)

1 answer

To solve for \( y \) given \( x = 5 \) in the equation:

\[ -9x - 7y = 11 \]

we can substitute \( x = 5 \) into the equation:

\[ -9(5) - 7y = 11 \]

Calculating \( -9 \times 5 \):

\[ -45 - 7y = 11 \]

Next, we will isolate the \( y \) term by adding 45 to both sides:

\[ -7y = 11 + 45 \]

\[ -7y = 56 \]

Now, divide both sides by -7:

\[ y = \frac{56}{-7} \]

\[ y = -8 \]

So when \( x = 5 \), \( y = -8 \). Therefore, the solution in the form \((x, y)\) is:

\[ (5, -8) \]