Which of the following equations has a solution of −12

Question

?(1 point)
Responses

x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

x − 1 = −12
x minus 1 equals negative Start Fraction 1 over 2 End Fraction

x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction

x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1

Answer 1

To determine which equation has a solution of \( x = -12 \), we can substitute \( x \) with \(-12\) in each equation and see if the equation holds true.

1. Equation: \( x + 12 = -1 \) \[ -12 + 12 = 0 \quad (\text{not true}) \]

2. Equation: \( x + \frac{1}{2} = -1 \) \[ -12 + \frac{1}{2} = -11.5 \quad (\text{not true}) \]

3. Equation: \( x - 1 = -12 \) \[ -12 - 1 = -13 \quad (\text{not true}) \]

4. Equation: \( x - \frac{1}{2} = -12 \) \[ -12 - \frac{1}{2} = -12.5 \quad (\text{not true}) \]

5. Equation: \( x + 1 = 12 \) \[ -12 + 1 = -11 \quad (\text{not true}) \]

6. Equation: \( x - 12 = 1 \) \[ -12 - 12 = -24 \quad (\text{not true}) \]

Upon evaluating all equations, none yield a true statement when substituting \( x = -12\).

Therefore, the answer is none of the given equations have a solution of \( -12 \).