Which of the following equations has a solution of −12

Question

?(1 point)
Responses pike one

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 can substitute \(-12\) into each equation and check if it holds true.

1. Equation: \( x - \frac{1}{2} = 1 \)
   \(-12 - \frac{1}{2} = 1\)
   \(-12.5 \neq 1\) (Not a solution)

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

3. Equation: \( x - 1 = -\frac{1}{2} \)
   \(-12 - 1 = -\frac{1}{2}\)
   \(-13 \neq -0.5\) (Not a solution)

4. Equation: \( x + 1 = \frac{1}{2} \)
   \(-12 + 1 = \frac{1}{2}\)
   \(-11 \neq 0.5\) (Not a solution)

Since none of the equations hold true for \( x = -12 \), none of the options provided have a solution of \(-12\).