To solve the system of equations using substitution, we have:
- \(-9x - 6y = -12\)
- \(x = 6\)
Since we have \(x = 6\), we can substitute \(6\) for \(x\) in the first equation.
Substituting \(x = 6\) into the first equation:
\[ -9(6) - 6y = -12 \]
Calculating \(-9(6)\):
\[ -54 - 6y = -12 \]
Next, we can isolate \(y\) by adding \(54\) to both sides:
\[ -6y = -12 + 54 \]
Calculating the right side:
\[ -6y = 42 \]
Now, divide both sides by \(-6\):
\[ y = \frac{42}{-6} = -7 \]
Thus, the solution to the system of equations is:
\[ x = 6, \quad y = -7 \]
So the solution in ordered pair form is:
\[ (6, -7) \]