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Which of the following equations has a solution of −1/2 ?(1 point)

Responses

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

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

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

x − 1 = −12

1 answer

To determine which equation has a solution of \( x = -\frac{1}{2} \), we can test each equation by substituting \( -\frac{1}{2} \) for \( x \).

  1. \( x + 12 = -1 \)
    \(-\frac{1}{2} + 12 = -1\)
    \(11.5 \neq -1\) (not a solution)

  2. \( x + \frac{1}{2} = -1 \)
    \(-\frac{1}{2} + \frac{1}{2} = -1\)
    \(0 \neq -1\) (not a solution)

  3. \( x - 12 = 1 \)
    \(-\frac{1}{2} - 12 = 1\)
    \(-12.5 \neq 1\) (not a solution)

  4. \( x - \frac{1}{2} = 1 \)
    \(-\frac{1}{2} - \frac{1}{2} = 1\)
    \(-1 \neq 1\) (not a solution)

  5. \( x + 1 = 12 \)
    \(-\frac{1}{2} + 1 = 12\)
    \(\frac{1}{2} \neq 12\) (not a solution)

  6. \( x - 1 = -12 \)
    \(-\frac{1}{2} - 1 = -12\)
    \(-1.5 \neq -12\) (not a solution)

None of the equations listed seem to have \(-\frac{1}{2}\) as a solution. Could there be a misunderstanding or a missing equation in your options? Please double-check the equations or provide more context.