Solve x=1/u+1

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

Solve for u

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

$$x\neq 0$$

Steps for Solving Linear Equation

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

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

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

$$xu+x=1$$

Subtract x from both sides.

$$xu=1-x$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 1-x by x.

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

Variable u cannot be equal to -1.

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

Solve for x

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

$$u\neq -1$$