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Which of the following coordinates are NOT solutions to the equation −3x+2y=−6

?(1 point)
Responses

(2,0)
(2,0)
(3,4)
(3,4)
(11,12)
(11,12)
(-8,15)
(-8,15)
(-2,-5)

1 answer

To determine which of the given coordinates are NOT solutions to the equation \(-3x + 2y = -6\), we can substitute each coordinate into the equation.

  1. For (2, 0): \[ -3(2) + 2(0) = -6 \implies -6 + 0 = -6 \quad \text{(True)} \]

  2. For (3, 4): \[ -3(3) + 2(4) = -6 \implies -9 + 8 = -6 \quad \text{(True)} \]

  3. For (11, 12): \[ -3(11) + 2(12) = -6 \implies -33 + 24 = -9 \quad \text{(False)} \]

  4. For (-8, 15): \[ -3(-8) + 2(15) = -6 \implies 24 + 30 = 54 \quad \text{(False)} \]

  5. For (-2, -5): \[ -3(-2) + 2(-5) = -6 \implies 6 - 10 = -4 \quad \text{(False)} \]

So the coordinates that are NOT solutions to the equation \(-3x + 2y = -6\) are:

  • (11, 12)
  • (-8, 15)
  • (-2, -5)

Thus, the responses (11, 12), (-8, 15), and (-2, -5) are NOT solutions.