To determine which ordered pairs are solutions to the equation \(2x + 3y = -12\), we can substitute each pair into the equation and check if the equation holds true.
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For the ordered pair \( (0, -4) \): \[ 2(0) + 3(-4) = 0 - 12 = -12 \quad \text{(True)} \]
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For the ordered pair \( (2, -1) \): \[ 2(2) + 3(-1) = 4 - 3 = 1 \quad \text{(False)} \]
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For the ordered pair \( (0, 0) \): \[ 2(0) + 3(0) = 0 \quad \text{(False)} \]
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For the ordered pair \( (-6, 0) \): \[ 2(-6) + 3(0) = -12 + 0 = -12 \quad \text{(True)} \]
The solutions to the equation \(2x + 3y = -12\) from the provided options are:
- \( (0, -4) \)
- \( (-6, 0) \)
Thus, the ordered pairs that are solutions are \((0, -4)\) and \((-6, 0)\).