Final answer:
Upon examining the equation 5z = 13, neither ordered pair (2, 9) nor (3, 6) is a solution since z = 2.6 is the solution and neither pair contains the value 2.6 for z.
Step-by-step explanation:
In order to determine which statement about the ordered pairs (2, 9) and (3, 6) is true for the equation 5z = 13, we need to see if either pair satisfies the equation when substituted for the variable z. For the first ordered pair (2, 9), the first number would traditionally represent the x value and the second the y value in a function of x, which is not applicable here since our equation only has one variable z. The same reasoning applies to the second ordered pair (3, 6). Therefore, neither ordered pair provides a z value to test in the equation 5z = 13. Moreover, the equation 5z = 13 can be solved by dividing both sides by 5 which gives us z = 13/5 or z = 2.6. Since neither 2 nor 3 is equal to 2.6, neither ordered pair is a solution to the given equation. Hence, the correct answer is (a) Neither ordered pair is a solution.