Solve y-2=(x-(-1/2))

$$y - 2 = ( x - ( - \frac { 1 } { 2 } ) )$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Solution Steps

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$y-2=x+\frac{1}{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x+\frac{1}{2}=y-2$$

Subtract \frac{1}{2} from both sides.

$$x=y-2-\frac{1}{2}$$

Subtract \frac{1}{2} from -2 to get -\frac{5}{2}.

$$x=y-\frac{5}{2}$$

Solve for y

$$y = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Solution Steps

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$y-2=x+\frac{1}{2}$$

Add 2 to both sides.

$$y=x+\frac{1}{2}+2$$

Add \frac{1}{2} and 2 to get \frac{5}{2}.

$$y=x+\frac{5}{2}$$