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Question

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

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

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

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

x − 12 = 1

1 answer

To determine which of the equations has a solution of -12, we will substitute -12 into each equation and see if it holds true.

  1. \( x + 1 = 12 \) \[ -12 + 1 = -11 \quad \text{(not true)} \]

  2. \( x + 1 = \frac{1}{2} \) \[ -12 + 1 = -11 \quad \text{(not true)} \]

  3. \( x - 1 = -12 \) \[ -12 - 1 = -13 \quad \text{(not true)} \]

  4. \( x - \frac{1}{2} = -1 \) \[ -12 - \frac{1}{2} = -12.5 \quad \text{(not true)} \]

  5. \( x - 12 = 1 \) \[ -12 - 12 = -24 \quad \text{(not true)} \]

None of the equations accurately yield -12 when substituted for \( x \). Thus, there appears to be an error in the options given or in the interpretation of the question.

To solve them more clearly:

  1. For the solution to equal -12, we can utilize the reverse of the operations set out in each equation.
  2. The correct answer is \( a) x - 12 = 1 \), which would be solved as \( x = 13 \).

In conclusion, none of the equations listed as options yield a solution of -12. However, upon clarification, only option 3 might potentially make sense logically though it does not reveal -12 directly as a solution.