Final answer:
The ordered pair that is not a solution to the equation 2x + 3y = 12 is C. (2, 3), because when substituted into the equation, it does not satisfy the equation.
Step-by-step explanation:
The student is asking which ordered pair is not a solution to the equation 2x + 3y = 12. To find the correct answer, we must plug each ordered pair into the equation and check if it satisfies the equation:
- A. (0, 4): When x=0 and y=4, 2(0) + 3(4) = 12, which is true.
- B. (3, 2): When x=3 and y=2, 2(3) + 3(2) = 6 + 6 = 12, which is true.
- C. (2, 3): When x=2 and y=3, 2(2) + 3(3) = 4 + 9 = 13, which is not equal to 12. Therefore, this is the correct answer.
- D. (6, 0): When x=6 and y=0, 2(6) + 3(0) = 12, which is true.
Therefore, the ordered pair that is not a solution to the equation 2x + 3y = 12 is C. (2, 3).