Which of the following equations has a solution of −12

Question

−
1
2
?(1 point)
Responses

x + 1 = 12
𝑥

+

1

=

1
2
x plus 1 equals Start Fraction 1 over 2 End Fraction

x − 12 = 1
𝑥

−

1
2

=

1
x minus Start Fraction 1 over 2 End Fraction equals 1

x − 1 = −12
𝑥

−

1

=

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

x + 12 = −1................................

Answer 1

To determine which equation has a solution of \(-12\frac{1}{2}\), which is equivalent to \(-12.5\) or \(-\frac{25}{2}\), we can substitute \(-12\frac{1}{2}\) into each equation.

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

2. Equation 2: \(x + 1 = \frac{1}{2}\) \[ -12.5 + 1 = -11.5 \quad \text{(not equal to } \frac{1}{2}\text{)} \]

3. Equation 3: \(x - 12 = 1\) \[ -12.5 - 12 = -24.5 \quad \text{(not equal to 1)} \]

4. Equation 4: \(x - 1 = -12\) \[ -12.5 - 1 = -13.5 \quad \text{(not equal to -12)} \]

5. Equation 5: \(x + 12 = -1\) \[ -12.5 + 12 = -0.5 \quad \text{(not equal to -1)} \]

None of the equations provided have a solution of \(-12\frac{1}{2}\). Please double-check the equations or the proposed solution.