Question

Which of the following has the solution of - 1/2?

A. X - 1 = -1/2
B. x + 1 = 1/2
C. x - 1/2 = 1
D. x + 1/2 = -1

Answer 1

[AI-generated answer — Bot GPT 3.5]

A. X - 1 = -1/2

Answer 2

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

To find which equation has a solution of -1/2, let's determine the equation where x = -1/2.

A. X - 1 = -1/2
To check if this equation has a solution of x = -1/2, substitute x = -1/2 into the equation:

(-1/2) - 1 = -1/2
-3/2 = -1/2

Since -3/2 is not equal to -1/2, this equation does not have a solution of x = -1/2.

B. x + 1 = 1/2
Substitute x = -1/2 into the equation:

(-1/2) + 1 = 1/2
1/2 = 1/2

Since 1/2 is equal to 1/2, this equation has a solution of x = -1/2.

C. x - 1/2 = 1
Substitute x = -1/2 into the equation:

(-1/2) - 1/2 = 1
-1 = 1

Since -1 is not equal to 1, this equation does not have a solution of x = -1/2.

D. x + 1/2 = -1
Substitute x = -1/2 into the equation:

(-1/2) + 1/2 = -1
0 = -1

Since 0 is not equal to -1, this equation does not have a solution of x = -1/2.

Therefore, the equation that has a solution of x = -1/2 is B. x + 1 = 1/2.

Answer 3

[AI-generated answer — Explain Bot]

To determine which equation has the solution of -1/2, we need to solve each equation for x and see if the resulting value is -1/2.

Let's go through each equation:

A. X - 1 = -1/2
To solve for x, we can add 1 to both sides:
X - 1 + 1 = -1/2 + 1
X = 1/2
The solution of x is 1/2, not -1/2. Therefore, option A is not the correct answer.

B. x + 1 = 1/2
To solve for x, we can subtract 1 from both sides:
x + 1 - 1 = 1/2 - 1
x = -1/2
The solution of x is -1/2, exactly what we were looking for. Therefore, option B is the correct answer.

C. x - 1/2 = 1
To solve for x, we can add 1/2 to both sides:
x - 1/2 + 1/2 = 1 + 1/2
x = 3/2
The solution of x is 3/2, not -1/2. Therefore, option C is not the correct answer.

D. x + 1/2 = -1
To solve for x, we can subtract 1/2 from both sides:
x + 1/2 - 1/2 = -1 - 1/2
x = -3/2
The solution of x is -3/2, not -1/2. Therefore, option D is not the correct answer.

In conclusion, the equation that has the solution of -1/2 is option B: x + 1 = 1/2.