Solve y=w/1+w

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

Solve for w

$$w=-\frac{y}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Variable w cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by w+1.

$$y\left(w+1\right)=w$$

Use the distributive property to multiply y by w+1.

$$yw+y=w$$

Subtract w from both sides.

$$yw+y-w=0$$

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$yw-w=-y$$

Combine all terms containing w.

$$\left(y-1\right)w=-y$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)w}{y-1}=-\frac{y}{y-1}$$

Dividing by y-1 undoes the multiplication by y-1.

$$w=-\frac{y}{y-1}$$

Variable w cannot be equal to -1.

$$w=-\frac{y}{y-1}\text{, }w\neq -1$$

Solve for y

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

$$w\neq -1$$