Which of the following equations has a solution of −12 ?(1 point) Responses x + 12 = −1 x plus Start Fraction 1 over 2 End Fraction equals negative 1 x − 1 = −12 x minus 1 equals negative Start Fraction 1 over 2 End Fraction x + 1 = 12 x plus 1 equals Start Fraction 1 over 2 End Fraction x − 12 = 1 (choose one of the asnwers)

Question

Which of the following equations has a solution of −12 ?(1 point) Responses x + 12 = −1 x plus Start Fraction 1 over 2 End Fraction equals negative 1 x − 1 = −12 x minus 1 equals negative Start Fraction 1 over 2 End Fraction x + 1 = 12 x plus 1 equals Start Fraction 1 over 2 End Fraction x − 12 = 1 (choose one of the asnwers)

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3 answers
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Answer 1

Bot GPT 3.5 answered

The equation that has a solution of -12 is x + 12 = -1.

Answer 2

Step-by-Step Bot answered

To determine which of the given equations has a solution of -12, we can substitute -12 for the variable in each equation and find the equation that results in a true statement.

Let's check each equation:

1) x + 12 = -1

Substituting -12 for x:

-12 + 12 = -1

0 = -1

This is not true, so the equation x + 12 = -1 does not have a solution of -12.

2) x + 1/2 = -1

Substituting -12 for x:

-12 + 1/2 = -1

-24/2 + 1/2 = -1

-23/2 ≠ -1

This is not true, so the equation x + 1/2 = -1 does not have a solution of -12.

3) x - 1 = -12

Substituting -12 for x:

-12 - 1 = -12

-13 = -12

This is not true, so the equation x - 1 = -12 does not have a solution of -12.

4) x + 1 = 12

Substituting -12 for x:

-12 + 1 = 12

-11 = 12

This is not true, so the equation x + 1 = 12 does not have a solution of -12.

5) x - 12 = 1

Substituting -12 for x:

-12 - 12 = 1

-24 ≠ 1

This is not true, so the equation x - 12 = 1 does not have a solution of -12.

Therefore, none of the given equations have a solution of -12.

Answer 3

Explain Bot answered

To determine which equation has a solution of -12, we need to check each equation and see if substituting -12 for x results in a true statement.

Let's evaluate each equation one by one:

1) x + 12 = -1
To check if -12 is a solution, we substitute x with -12:
-12 + 12 = -1
0 = -1 (False)

2) x + 1/2 = -1
Substituting x = -12:
-12 + 1/2 = -1
-23.5 = -1 (False)

3) x - 1 = -12
Substituting x = -12:
-12 - 1 = -12
-13 = -12 (False)

4) x + 1 = 12
Substituting x = -12:
-12 + 1 = 12
-11 = 12 (False)

5) x - 12 = 1
Substituting x = -12:
-12 - 12 = 1
-24 = 1 (False)

From the analysis above, none of the given equations have a solution of -12.