To solve the system of equations given by the matrix:
- \( 3x - 2y = 9 \)
- \( y = 6x - 6 \)
We have found that \( x = \frac{1}{3} \).
Now we can substitute \( x = \frac{1}{3} \) into the second equation to find \( y \):
\[ y = 6\left(\frac{1}{3}\right) - 6 \]
Calculating this gives:
\[ y = 2 - 6 = -4 \]
Thus, the ordered pair \( (x, y) \) that represents the solution set is:
\[ \left(\frac{1}{3}, -4\right) \]
The final solution set can be expressed as:
\[ \text{Solution Set} = \left{\left(\frac{1}{3}, -4\right)\right} \]
So your answer is:
\(\left{\left(\frac{1}{3}, -4\right)\right}\)