Solve y/y+1=x

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

Solve for x

$$x=2$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$y+y=xy$$

Combine y and y to get 2y.

$$2y=xy$$

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

$$xy=2y$$

The equation is in standard form.

$$yx=2y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{2y}{y}$$

Dividing by y undoes the multiplication by y.

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

Divide 2y by y.

$$x=2$$

Solve for y

$$y\neq 0$$

$$x=2\text{ and }y\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$y+y=xy$$

Combine y and y to get 2y.

$$2y=xy$$

Subtract xy from both sides.

$$2y-xy=0$$

Combine all terms containing y.

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

Divide 0 by 2-x.

$$y=0$$

Variable y cannot be equal to 0.

$$y\in \emptyset$$