Which of the following equations has a solution of −12

Question

?(1 point)
Responses

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

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

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

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

Answer 1

To determine which of the given equations has a solution of \( x = -12 \), we will substitute \( -12 \) into each equation and see if it satisfies the equation.

1. Equation: \( x - \frac{1}{2} = 1 \)
   Substitute \( x = -12 \):
   \[ -12 - \frac{1}{2} = -12.5 \neq 1 \]

2. Equation: \( x + \frac{1}{2} = -1 \)
   Substitute \( x = -12 \):
   \[ -12 + \frac{1}{2} = -11.5 \neq -1 \]

3. Equation: \( x - 1 = -\frac{1}{2} \)
   Substitute \( x = -12 \):
   \[ -12 - 1 = -13 \neq -\frac{1}{2} \]

4. Equation: \( x + 1 = \frac{1}{2} \)
   Substitute \( x = -12 \):
   \[ -12 + 1 = -11 \neq \frac{1}{2} \]

None of the equations have a solution of \( x = -12 \). Therefore, none of the equations provided have a solution of \( -12 \).