Which of the following equations has a solution of −12

?(1 point)
Responses

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

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

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

x − 12 = 1

1 answer

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

  1. Equation: \(x + 12 = -1\)
    Substitution: \(-12 + 12 = -1\)
    Result: \(0 \neq -1\) (not a solution)

  2. Equation: \(x + 1 = 12\)
    Substitution: \(-12 + 1 = 12\)
    Result: \(-11 \neq 12\) (not a solution)

  3. Equation: \(x - 1 = -12\)
    Substitution: \(-12 - 1 = -12\)
    Result: \(-13 \neq -12\) (not a solution)

  4. Equation: \(x - 12 = 1\)
    Substitution: \(-12 - 12 = 1\)
    Result: \(-24 \neq 1\) (not a solution)

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

If you meant to include any other equations or if there's a mistake in the equations provided, please let me know!