Question

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

Responses

x + 3 = −11
x plus 3 equals negative 11

x − 8 = 0
x minus 8 equals 0

x − 4 = −12
x minus 4 equals negative 12

x − 10 = 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

x + 3 = -11

Answer 2

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

To find the equation with a solution of -8, we can substitute -8 into each equation and see which one makes it true.

Let's go through each equation:

1. x + 3 = -11

Substitute -8 for x:

-8 + 3 = -11

-5 = -11

Since -5 does not equal -11, this equation does not have a solution of -8.

2. x - 8 = 0

Substitute -8 for x:

-8 - 8 = 0

-16 = 0

Since -16 does not equal 0, this equation does not have a solution of -8.

3. x - 4 = -12

Substitute -8 for x:

-8 - 4 = -12

-12 = -12

Since -12 equals -12, this equation has a solution of -8.

4. x - 10 = 2

Substitute -8 for x:

-8 - 10 = 2

-18 = 2

Since -18 does not equal 2, this equation does not have a solution of -8.

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

Answer 3

[AI-generated answer — Explain Bot]

To determine which equation has a solution of -8, we can substitute -8 for the variable "x" in each equation and see which equation results in a true statement.

Let's go through each equation:

1) x + 3 = -11

To substitute -8 for x, we have: (-8) + 3 = -11
Simplifying the left side of the equation, we get: -5 = -11

Since -5 is NOT equal to -11, this equation is not true when x is -8. So, this equation does not have a solution of -8.

2) x - 8 = 0

Substituting -8 for x, we have: (-8) - 8 = 0
Simplifying the left side of the equation, we get: -16 = 0

Again, -16 is NOT equal to 0, so this equation does not have a solution of -8.

3) x - 4 = -12

Substituting -8 for x, we have: (-8) - 4 = -12
Simplifying the left side of the equation, we get: -12 = -12

This time, -12 IS equal to -12, so this equation has a solution of -8.

4) x - 10 = 2

Substituting -8 for x, we have: (-8) - 10 = 2
Simplifying the left side of the equation, we get: -18 = 2

Since -18 is NOT equal to 2, this equation does not have a solution of -8.

So, the equation with a solution of -8 is: x - 4 = -12.