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Which of the following equations has a solution of -1/2?

x-1=-1/2, x+1/2=-1, x-1/2=1, x+1=1/2

1 answer

To determine which of the given equations has a solution of -1/2, we can substitute -1/2 into each equation and check if it satisfies the equation.

  1. Equation: \( x - 1 = -\frac{1}{2} \)

    • Substitute \( x = -\frac{1}{2} \): \[ -\frac{1}{2} - 1 = -\frac{1}{2} \ -\frac{1}{2} - \frac{2}{2} = -\frac{3}{2} \quad \text{(Not equal to -1/2)} \]

  2. Equation: \( x + \frac{1}{2} = -1 \)

    • Substitute \( x = -\frac{1}{2} \): \[ -\frac{1}{2} + \frac{1}{2} = -1 \ 0 = -1 \quad \text{(Not equal to -1)} \]

  3. Equation: \( x - \frac{1}{2} = 1 \)

    • Substitute \( x = -\frac{1}{2} \): \[ -\frac{1}{2} - \frac{1}{2} = 1 \ -1 = 1 \quad \text{(Not equal to 1)} \]

  4. Equation: \( x + 1 = \frac{1}{2} \)

    • Substitute \( x = -\frac{1}{2} \): \[ -\frac{1}{2} + 1 = \frac{1}{2} \ \frac{1}{2} = \frac{1}{2} \quad \text{(This is true)} \]

The equation that has a solution of -1/2 is: \[ x + 1 = \frac{1}{2}. \]