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

Question

?(1 point)
Responses

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

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

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

x + 1 = 1/2

Answer 1

To check which equation has a solution of \( x = -\frac{1}{2} \), we can substitute \(-\frac{1}{2}\) into each equation and see if they hold true.

1. Equation: \( x - 1 = -\frac{1}{2} \) \[ -\frac{1}{2} - 1 = -\frac{1}{2} \quad \text{(Not true, as } -\frac{3}{2} \neq -\frac{1}{2}) \]

2. Equation: \( x + \frac{1}{2} = -1 \) \[ -\frac{1}{2} + \frac{1}{2} = -1 \quad \text{(Not true, as } 0 \neq -1) \]

3. Equation: \( x - \frac{1}{2} = 1 \) \[ -\frac{1}{2} - \frac{1}{2} = 1 \quad \text{(Not true, as } -1 \neq 1) \]

4. Equation: \( x + 1 = \frac{1}{2} \) \[ -\frac{1}{2} + 1 = \frac{1}{2} \quad \text{(True, as } \frac{1}{2} = \frac{1}{2}) \]

The equation that has a solution of \( -\frac{1}{2} \) is:

\( x + 1 = \frac{1}{2} \)