Solve 1-x/z-x=0

$$1- \frac{ x }{ z } -x=0$$

Solve for z

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

$$x\neq 0\text{ and }x\neq 1$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by z.

$$z-x-xz=0$$

Add x to both sides. Anything plus zero gives itself.

$$z-xz=x$$

Combine all terms containing z.

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

Divide both sides by 1-x.

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

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

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

Variable z cannot be equal to 0.

$$z=\frac{x}{1-x}\text{, }z\neq 0$$

Solve for x

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

$$z\neq -1\text{ and }z\neq 0$$