Solve y=x+y/2

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

Solve for x

$$x=y$$

Solution Steps

Divide each term of x+y by 2 to get \frac{1}{2}x+\frac{1}{2}y.

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

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

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

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

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

Combine y and -\frac{1}{2}y to get \frac{1}{2}y.

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

Cancel out \frac{1}{2} on both sides.

$$x=y$$

Solve for y

$$y=x$$

Solution Steps

Divide each term of x+y by 2 to get \frac{1}{2}x+\frac{1}{2}y.

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

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

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

Combine y and -\frac{1}{2}y to get \frac{1}{2}y.

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

Cancel out \frac{1}{2} on both sides.

$$y=x$$