Solve xyz=yz

$$xyz=yz$$

Solve for x

$$\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&z=0\text{ or }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yzx=yz$$

Divide both sides by yz.

$$\frac{yzx}{yz}=\frac{yz}{yz}$$

Dividing by yz undoes the multiplication by yz.

$$x=\frac{yz}{yz}$$

Divide yz by yz.

$$x=1$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=1\text{ or }z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract yz from both sides.

$$xyz-yz=0$$

Combine all terms containing y.

$$\left(xz-z\right)y=0$$

Divide 0 by xz-z.

$$y=0$$