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

Question

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

Answer 1

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 $x=-\frac{1}{2}$: $$-\frac{1}{2}-1=-\frac{1}{2}-\frac{1}{2}-\frac{2}{2}=-\frac{3}{2}\text{(Not equal to -1/2)}$$

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

   • Substitute $x=-\frac{1}{2}$: $$-\frac{1}{2}+\frac{1}{2}=-10=-1\text{(Not equal to -1)}$$

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

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

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

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

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