Solve x+y/2-y/y=0

$$\frac { x + y } { 2 } - \frac { y } { y } = 0$$

Solve for x

$$x=2-y$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2y, the least common multiple of 2,y.

$$y\left(x+y\right)-2y=0$$

Use the distributive property to multiply y by x+y.

$$yx+y^{2}-2y=0$$

Subtract y^{2} from both sides. Anything subtracted from zero gives its negation.

$$yx-2y=-y^{2}$$

Add 2y to both sides.

$$yx=-y^{2}+2y$$

The equation is in standard form.

$$yx=2y-y^{2}$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{y\left(2-y\right)}{y}$$

Dividing by y undoes the multiplication by y.

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

Divide y\left(2-y\right) by y.

$$x=2-y$$

Solve for y

$$y=2-x$$

$$x\neq 2$$