Solve 100x*500y=1000z=

$$100x \times 500y=1000z=$$

Solve for x

$$\left\{\begin{matrix}x=\frac{z}{50y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 100 and 500 to get 50000.

$$50000xy=1000z$$

The equation is in standard form.

$$50000yx=1000z$$

Divide both sides by 50000y.

$$\frac{50000yx}{50000y}=\frac{1000z}{50000y}$$

Dividing by 50000y undoes the multiplication by 50000y.

$$x=\frac{1000z}{50000y}$$

Divide 1000z by 50000y.

$$x=\frac{z}{50y}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{z}{50x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 100 and 500 to get 50000.

$$50000xy=1000z$$

Divide both sides by 50000x.

$$\frac{50000xy}{50000x}=\frac{1000z}{50000x}$$

Dividing by 50000x undoes the multiplication by 50000x.

$$y=\frac{1000z}{50000x}$$

Divide 1000z by 50000x.

$$y=\frac{z}{50x}$$