To solve the system of equations using substitution, we can start with the equations provided:
- \( x = 2 \)
- \( 9x + 6y = -12 \)
Since we already have \( x \) in terms of a number, we can substitute \( x = 2 \) into the second equation.
Substituting \( x = 2 \) into the second equation:
\[ 9(2) + 6y = -12 \]
Now, calculate \( 9(2) \):
\[ 18 + 6y = -12 \]
Next, we solve for \( y \) by isolating \( 6y \):
\[ 6y = -12 - 18 \] \[ 6y = -30 \]
Now, divide both sides by 6:
\[ y = -5 \]
So, we have:
\[ x = 2 \] \[ y = -5 \]
Thus, the solution to the system of equations is:
\((2, -5)\)