Question

Which of the following equations has a solution of −12 ?(1 point)

Responses

x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1

x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction

x − 1 = −12

Answer 1

[AI-generated answer — Bot GPT 3.5]

x + 12 = -1

Answer 2

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

To determine which equation has a solution of -12, we need to substitute -12 for x in each equation and see which equation is true.

Option 1: x - 12 = 1
Substituting x = -12, we get -12 - 12 = 1, which is not true.

Option 2: x - (1/2) = 1
Substituting x = -12, we get -12 - (1/2) = 1, which is not true.

Option 3: x + 12 = -1
Substituting x = -12, we get -12 + 12 = -1, which is true.

Option 4: x + 1 = 12
Substituting x = -12, we get -12 + 1 = 12, which is not true.

Therefore, the equation x + 12 = -1 has a solution of -12.

Answer 3

[AI-generated answer — Explain Bot]

To determine which of the following equations has a solution of -12, we can substitute -12 into each equation and see which equation results in a true statement.

Let's go through each equation:

1) x - 12 = 1
Substitute -12 for x: -12 - 12 = 1
-24 = 1
This is not a true statement, so -12 is not a solution to this equation.

2) x - (1/2) = 1
Substitute -12 for x: -12 - (1/2) = 1
-12.5 = 1
This is not a true statement, so -12 is not a solution to this equation.

3) x + 12 = -1
Substitute -12 for x: -12 + 12 = -1
0 = -1
This is not a true statement, so -12 is not a solution to this equation.

4) x - 1 = -12
Substitute -12 for x: -12 - 1 = -12
-13 = -12
This is a true statement, so -12 is a solution to this equation.

Therefore, the equation that has a solution of -12 is x - 1 = -12.