Solve x=1-y/1+y

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

Solve for y

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

$$x\neq -1$$

Steps for Solving Linear Equation

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

$$x\left(y+1\right)=1-y$$

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

$$xy+x=1-y$$

Add y to both sides.

$$xy+x+y=1$$

Subtract x from both sides.

$$xy+y=1-x$$

Combine all terms containing y.

$$\left(x+1\right)y=1-x$$

Divide both sides by x+1.

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

Dividing by x+1 undoes the multiplication by x+1.

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

Variable y cannot be equal to -1.

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

Solve for x

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

$$y\neq -1$$