Solve y=n/2n+1

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

Solve for n

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

$$y\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Variable n cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2n+1.

$$y\left(2n+1\right)=n$$

Use the distributive property to multiply y by 2n+1.

$$2yn+y=n$$

Subtract n from both sides.

$$2yn+y-n=0$$

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

$$2yn-n=-y$$

Combine all terms containing n.

$$\left(2y-1\right)n=-y$$

Divide both sides by 2y-1.

$$\frac{\left(2y-1\right)n}{2y-1}=-\frac{y}{2y-1}$$

Dividing by 2y-1 undoes the multiplication by 2y-1.

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

Variable n cannot be equal to -\frac{1}{2}.

$$n=-\frac{y}{2y-1}\text{, }n\neq -\frac{1}{2}$$

Solve for y

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

$$n\neq -\frac{1}{2}$$