Solve xyz=xy+9

$$x y z = x y + 9$$

Solve for x

$$x=\frac{9}{y\left(z-1\right)}$$

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

Steps for Solving Linear Equation

Subtract xy from both sides.

$$xyz-xy=9$$

Combine all terms containing x.

$$\left(yz-y\right)x=9$$

Divide both sides by yz-y.

$$\frac{\left(yz-y\right)x}{yz-y}=\frac{9}{yz-y}$$

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

$$x=\frac{9}{yz-y}$$

Divide 9 by yz-y.

$$x=\frac{9}{y\left(z-1\right)}$$

Solve for y

$$y=\frac{9}{x\left(z-1\right)}$$

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

Steps for Solving Linear Equation

Subtract xy from both sides.

$$xyz-xy=9$$

Combine all terms containing y.

$$\left(xz-x\right)y=9$$

Divide both sides by xz-x.

$$\frac{\left(xz-x\right)y}{xz-x}=\frac{9}{xz-x}$$

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

$$y=\frac{9}{xz-x}$$

Divide 9 by xz-x.

$$y=\frac{9}{x\left(z-1\right)}$$