Solve x1y0=x0y1

$$x1y0=x0y1$$

Solve for x_0

$$\left\{\begin{matrix}x_{0}=\frac{x_{1}y_{0}}{y_{1}}\text{, }&y_{1}\neq 0\\x_{0}\in \mathrm{R}\text{, }&\left(x_{1}=0\text{ or }y_{0}=0\right)\text{ and }y_{1}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$x_{0}y_{1}=x_{1}y_{0}$$

The equation is in standard form.

$$y_{1}x_{0}=x_{1}y_{0}$$

Divide both sides by y_{1}.

$$\frac{y_{1}x_{0}}{y_{1}}=\frac{x_{1}y_{0}}{y_{1}}$$

Dividing by y_{1} undoes the multiplication by y_{1}.

$$x_{0}=\frac{x_{1}y_{0}}{y_{1}}$$

Solve for x_1

$$\left\{\begin{matrix}x_{1}=\frac{x_{0}y_{1}}{y_{0}}\text{, }&y_{0}\neq 0\\x_{1}\in \mathrm{R}\text{, }&\left(x_{0}=0\text{ or }y_{1}=0\right)\text{ and }y_{0}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$y_{0}x_{1}=x_{0}y_{1}$$

Divide both sides by y_{0}.

$$\frac{y_{0}x_{1}}{y_{0}}=\frac{x_{0}y_{1}}{y_{0}}$$

Dividing by y_{0} undoes the multiplication by y_{0}.

$$x_{1}=\frac{x_{0}y_{1}}{y_{0}}$$