Solve omegax=v_{y}

$$\omega x = v _ { y }$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{v_{y}}{\omega }\text{, }&\omega \neq 0\\x\in \mathrm{C}\text{, }&v_{y}=0\text{ and }\omega =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\omega x=v_{y}$$

Divide both sides by \omega .

$$\frac{\omega x}{\omega }=\frac{v_{y}}{\omega }$$

Dividing by \omega undoes the multiplication by \omega .

$$x=\frac{v_{y}}{\omega }$$

Solve for x

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

Steps for Solving Linear Equation

The equation is in standard form.

$$\omega x=v_{y}$$

Divide both sides by \omega .

$$\frac{\omega x}{\omega }=\frac{v_{y}}{\omega }$$

Dividing by \omega undoes the multiplication by \omega .

$$x=\frac{v_{y}}{\omega }$$

Solve for v_y

$$v_{y}=x\omega$$

Solution Steps

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

$$v_{y}=\omega x$$