To solve the system of equations given by \( 9x - 6y = 12 \) and \( y = 1 \), we can substitute the value of \( y \) into the first equation.
Substituting \( y = 1 \) into \( 9x - 6y = 12 \):
\[ 9x - 6(1) = 12 \]
This simplifies to:
\[ 9x - 6 = 12 \]
Next, add 6 to both sides:
\[ 9x = 12 + 6 \]
\[ 9x = 18 \]
Now, divide both sides by 9:
\[ x = \frac{18}{9} = 2 \]
So, the solution for the system of equations is:
\[ x = 2, \quad y = 1 \]
Thus, the solution is \( (2, 1) \).