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Which of the following equations has a solution of −1/2

?(1 point)
Responses

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
x minus 1 equals negative Start Fraction 1 over 2 End Fraction

x + 12 = −1

1 answer

Let's solve each equation to find out which one has a solution of \(-\frac{1}{2}\):

  1. Equation: \(x - 12 = 1\)
    Solution:
    \(x = 1 + 12 = 13\)
    (Not \(-\frac{1}{2}\))

  2. Equation: \(x - \frac{1}{2} = 1\)
    Solution:
    \(x = 1 + \frac{1}{2} = \frac{3}{2}\)
    (Not \(-\frac{1}{2}\))

  3. Equation: \(x + 1 = 12\)
    Solution:
    \(x = 12 - 1 = 11\)
    (Not \(-\frac{1}{2}\))

  4. Equation: \(x + 12 = -1\)
    Solution:
    \(x = -1 - 12 = -13\)
    (Not \(-\frac{1}{2}\))

  5. Equation: \(x - 1 = -\frac{1}{2}\)
    Solution:
    \(x = -\frac{1}{2} + 1 = \frac{1}{2}\)
    (Not \(-\frac{1}{2}\))

None of the above equations yield a solution of \(-\frac{1}{2}\). Please double-check the equations or consider if there might be a mistake in the options provided.