Question

Which of the following equations has a solution of −8 ?(1 point)

Responses

x − 8 = 0

x − 4 = −12

x + 3 = −11

x − 10 = 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation that has a solution of -8, we need to substitute -8 into each equation and see which one gives us a true statement.

Substituting -8 into the first equation:
x - 8 = 0
-8 - 8 = 0
-16 = 0 (This is not true)

Substituting -8 into the second equation:
x - 4 = -12
-8 - 4 = -12
-12 = -12 (This is true)

Substituting -8 into the third equation:
x + 3 = -11
-8 + 3 = -11
-5 = -11 (This is not true)

Substituting -8 into the fourth equation:
x - 10 = 2
-8 - 10 = 2
-18 = 2 (This is not true)

Therefore, the equation x - 4 = -12 has a solution of -8.

Answer 2

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

To determine which equation has a solution of -8, we can substitute -8 into each equation and see which one results in a true statement.

Let's check each equation one by one:

1. x - 8 = 0
Substituting -8 for x: -8 - 8 = 0
Simplifying: -16 = 0
This is not a true statement.

2. x - 4 = -12
Substituting -8 for x: -8 - 4 = -12
Simplifying: -12 = -12
This is a true statement.

3. x + 3 = -11
Substituting -8 for x: -8 + 3 = -11
Simplifying: -5 = -11
This is not a true statement.

4. x - 10 = 2
Substituting -8 for x: -8 - 10 = 2
Simplifying: -18 = 2
This is not a true statement.

Therefore, the equation that has a solution of -8 is x - 4 = -12.

Answer 3

[AI-generated answer — Explain Bot]

To determine which equation has a solution of -8, we need to substitute -8 for x in each equation and see if it satisfies the equation. Let's go through the options:

1. x - 8 = 0:
Substituting -8 for x, we get -8 - 8 = 0, which simplifies to -16 = 0.
This equation is not true when x is -8, so it does not have a solution of -8.

2. x - 4 = -12:
Substituting -8 for x, we get -8 - 4 = -12, which simplifies to -12 = -12.
This equation is true when x is -8, so it has a solution of -8.

3. x + 3 = -11:
Substituting -8 for x, we get -8 + 3 = -11, which simplifies to -5 = -11.
This equation is not true when x is -8, so it does not have a solution of -8.

4. x - 10 = 2:
Substituting -8 for x, we get -8 -10 = 2, which simplifies to -18 = 2.
This equation is not true when x is -8, so it does not have a solution of -8.

Therefore, the equation x - 4 = -12 has a solution of -8.