Solve y=x+1/x+1

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

Solve for x

$$x\neq -1$$

$$y=1$$

Steps for Solving Linear Equation

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

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

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

$$yx+y=x+1$$

Subtract x from both sides.

$$yx+y-x=1$$

Subtract y from both sides.

$$yx-x=1-y$$

Combine all terms containing x.

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

Divide both sides by y-1.

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

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

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

Divide 1-y by y-1.

$$x=-1$$

Variable x cannot be equal to -1.

$$x\in \emptyset$$

Solve for y

$$y=1$$

$$x\neq -1$$

Steps for Solving Linear Equation

Cancel out x+1 in both numerator and denominator.

$$y=1$$