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Which ordered pair is not a solution to 2x + 3y = 12?

A. (0, 4)
B. (3, 2)
C. (2, 3)
D. (6, 0)

User Ferit
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1 Answer

6 votes

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).

User Steven Anderson
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