Select the ordered pair(s) that are solutions to the equation below:

2x + 3y= -12

Select all that apply:
(0, -4)
(2,-1)
(0,0)
(-6,0)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.

  1. For the ordered pair \( (0, -4) \): \[ 2(0) + 3(-4) = 0 - 12 = -12 \quad \text{(True)} \]

  2. For the ordered pair \( (2, -1) \): \[ 2(2) + 3(-1) = 4 - 3 = 1 \quad \text{(False)} \]

  3. For the ordered pair \( (0, 0) \): \[ 2(0) + 3(0) = 0 \quad \text{(False)} \]

  4. 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 \((-6, 0)\).