Question

2x+3y=−12 order pairs

(0,-4)
(2,-1)
(0,0)
(6,0)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To check if the given ordered pairs are solutions to the equation 2x + 3y = -12, we substitute the values of x and y into the equation and see if it holds true.

1) For (0, -4):
2(0) + 3(-4) = -12
0 - 12 = -12
-12 = -12
The equation is true for (0, -4).

2) For (2, -1):
2(2) + 3(-1) = -12
4 - 3 = -12
1 ≠ -12
The equation is not true for (2, -1).

3) For (0, 0):
2(0) + 3(0) = -12
0 + 0 = -12
0 ≠ -12
The equation is not true for (0, 0).

4) For (6, 0):
2(6) + 3(0) = -12
12 + 0 = -12
12 ≠ -12
The equation is not true for (6, 0).

The ordered pair (0, -4) is the only solution to the equation 2x + 3y = -12.

Answer 2

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

To find out if these ordered pairs satisfy the equation 2x + 3y = -12, substitute the x and y values into the equation and check if both sides are equal.

1. Ordered Pair (0, -4):
- Substitute x = 0 and y = -4 into the equation:
2(0) + 3(-4) = 0 - 12 = -12
- The left-hand side (LHS) is equal to the right-hand side (RHS), so this ordered pair is a solution to the equation.

2. Ordered Pair (2, -1):
- Substitute x = 2 and y = -1 into the equation:
2(2) + 3(-1) = 4 - 3 = 1
- The LHS is not equal to the RHS, so this ordered pair is not a solution to the equation.

3. Ordered Pair (0, 0):
- Substitute x = 0 and y = 0 into the equation:
2(0) + 3(0) = 0 + 0 = 0
- The LHS is not equal to the RHS, so this ordered pair is not a solution to the equation.

4. Ordered Pair (6, 0):
- Substitute x = 6 and y = 0 into the equation:
2(6) + 3(0) = 12 + 0 = 12
- The LHS is not equal to the RHS, so this ordered pair is not a solution to the equation.

Only the first ordered pair, (0, -4), satisfies the equation 2x + 3y = -12.

Answer 3

[AI-generated answer — Explain Bot]

To find out if the ordered pairs satisfy the given equation 2x + 3y = -12, we can substitute the x and y values from each pair into the equation and see if both sides are equal.

1. For the ordered pair (0, -4):
Substitute x = 0 and y = -4 into the equation:
2(0) + 3(-4) = -12
0 - 12 = -12
-12 = -12

Since both sides are equal, the ordered pair (0, -4) satisfies the equation.

2. For the ordered pair (2, -1):
Substitute x = 2 and y = -1 into the equation:
2(2) + 3(-1) = -12
4 - 3 = -12
1 = -12

Since both sides are not equal, the ordered pair (2, -1) does not satisfy the equation.

3. For the ordered pair (0, 0):
Substitute x = 0 and y = 0 into the equation:
2(0) + 3(0) = -12
0 + 0 = -12
0 = -12

Since both sides are not equal, the ordered pair (0, 0) does not satisfy the equation.

4. For the ordered pair (6, 0):
Substitute x = 6 and y = 0 into the equation:
2(6) + 3(0) = -12
12 + 0 = -12
12 = -12

Since both sides are not equal, the ordered pair (6, 0) does not satisfy the equation.

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