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

Question

Responses

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

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

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

x − 1/2 = 1

Answer 1

To determine which equation has a solution of \(-\frac{1}{2}\), we can substitute \(-\frac{1}{2}\) into each equation and see if it satisfies the equation.

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

2. Equation: \(x + 1 = \frac{1}{2}\)
   Substitute \(x = -\frac{1}{2}\):
   \(-\frac{1}{2} + 1 = \frac{1}{2}\)
   \(\frac{1}{2} = \frac{1}{2}\) (this is a solution)

3. Equation: \(x - 1 = -\frac{1}{2}\)
   Substitute \(x = -\frac{1}{2}\):
   \(-\frac{1}{2} - 1 = -\frac{1}{2}\)
   \(-\frac{3}{2} \neq -\frac{1}{2}\) (not a solution)

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

From this analysis, the equation that has a solution of \(-\frac{1}{2}\) is: \(x + 1 = \frac{1}{2}\).