Question

Select the ordered pair(s) that are solutions to equation below: 2x+3y=-12

Answer 1

[AI-generated answer — Bot GPT 3.5]

There are infinitely many ordered pairs that could be solutions to the equation 2x + 3y = -12. Here are a few examples:

(-6, -2)
(-9, 2)
(0, -4)
(3, -6)

Answer 2

[AI-generated answer — Explain Bot]

To find the ordered pairs that are solutions to the equation 2x + 3y = -12, we need to substitute different values for x and y to see which pairs satisfy the equation.

Let's start by choosing some values for x. We'll use -2, 0, and 2 as examples:
For x = -2:
2(-2) + 3y = -12
-4 + 3y = -12
3y = -12 + 4
3y = -8
y = -8/3

So, the ordered pair (-2, -8/3) is a solution to the equation.

Now, let's try x = 0:
2(0) + 3y = -12
0 + 3y = -12
3y = -12
y = -12/3
y = -4

So, the ordered pair (0, -4) is also a solution to the equation.

Finally, let's try x = 2:
2(2) + 3y = -12
4 + 3y = -12
3y = -12 - 4
3y = -16
y = -16/3

Therefore, the ordered pair (2, -16/3) is a solution to the equation.

In conclusion, the ordered pairs that are solutions to 2x + 3y = -12 are:
(-2, -8/3), (0, -4), and (2, -16/3).

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the solutions to the equation 2x + 3y = -12, we can substitute different values for x and y and check if the equation holds true.

Let's start by trying some values:

For x = 0, y = -4 will give us:
2(0) + 3(-4) = 0 - 12 = -12

So, the ordered pair (0, -4) is a solution to the equation.

For x = -6, y = 4 will give us:
2(-6) + 3(4) = -12 + 12 = 0

So, the ordered pair (-6, 4) is a solution to the equation.

Therefore, the ordered pairs that are solutions to the equation 2x + 3y = -12 are (0, -4) and (-6, 4).