To determine which equation has a solution of −1/2, we can substitute −1/2 into each equation and see which equation is true.
A. x + 1/2 = -1
If we substitute −1/2 into this equation, we get: -1/2 + 1/2 = -1, which simplifies to 0 = -1. This is not true, so this equation does not have a solution of −1/2.
B. x + 1 = 1/2
If we substitute −1/2 into this equation, we get: -1/2 + 1 = 1/2, which simplifies to 1/2 = 1/2. This is true, so this equation has a solution of −1/2.
C. x - 1 = -1/2
If we substitute −1/2 into this equation, we get: -1/2 - 1 = -1/2, which simplifies to -3/2 = -1/2. This is not true, so this equation does not have a solution of −1/2.
D. x - 1/2 = 1
If we substitute −1/2 into this equation, we get: -1/2 - 1/2 = 1, which simplifies to -1 = 1. This is not true, so this equation does not have a solution of −1/2.
Therefore, the equation that has a solution of −1/2 is B. x + 1 = 1/2.
Which of the following equations has a solution of −1/2?
A. x + 1/2 = -1
B. x + 1 = 1/2
C. x - 1 = -1/2
D. x - 1/2 = 1
1 answer