Solve 5xy=5x*2z

$$5xy=5x \times 2z$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=2z\end{matrix}\right.$$

Steps for Solving Linear Equation

Cancel out 5 on both sides.

$$xy=x\times 2z$$

Subtract x\times 2z from both sides.

$$xy-x\times 2z=0$$

Multiply -1 and 2 to get -2.

$$xy-2xz=0$$

Combine all terms containing x.

$$\left(y-2z\right)x=0$$

Divide 0 by y-2z.

$$x=0$$

Solve for y

$$\left\{\begin{matrix}\\y=2z\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Cancel out 5 on both sides.

$$xy=x\times 2z$$

The equation is in standard form.

$$xy=2xz$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{2xz}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{2xz}{x}$$

Divide 2xz by x.

$$y=2z$$