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: $x-\frac{1}{2}=1$
   $-12-\frac{1}{2}=1$
   $-12.5\ne 1$ (Not a solution)

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

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

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

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