Final answer:
After substituting the ordered pairs (2,-9) and (3,-6) into the equation 5x - y/3 = 13, it was found that (2,-9) is a solution as the equation balances, whereas (3,-6) does not satisfy the equation.
Step-by-step explanation:
To determine if the ordered pairs (2,-9) and (3,-6) are solutions to the equation 5x - y/3 = 13, we need to substitute the x and y values from each pair into the equation and see if the equation balances.
For the pair (2,-9), let's plug in x = 2 and y = -9 into the equation:
- 5(2) - (-9)/3 = 13
- 10 + 3 = 13
- 13 = 13
Since we see that the equation holds true for (2,-9), it is a solution.
Now, let's check the pair (3,-6) by substituting x = 3 and y = -6 into the equation:
- 5(3) - (-6)/3 = 13
- 15 + 2 = 13
- 17 ≠ 13
Since the equation does not balance for (3,-6), it is not a solution.
Therefore, the correct statement about the ordered pairs is: B) (2,-9) is a solution to the equation.