Solve si/v=x/1

$$\frac { s i } { v } = \frac { x } { 1 }$$

Solve for s

$$s=-ivx$$

$$v\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by v.

$$si=vx$$

The equation is in standard form.

$$is=vx$$

Divide both sides by i.

$$\frac{is}{i}=\frac{vx}{i}$$

Dividing by i undoes the multiplication by i.

$$s=\frac{vx}{i}$$

Divide vx by i.

$$s=-ivx$$

Solve for v

$$\left\{\begin{matrix}v=\frac{is}{x}\text{, }&s\neq 0\text{ and }x\neq 0\\v\neq 0\text{, }&x=0\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by v.

$$si=vx$$

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

$$vx=si$$

The equation is in standard form.

$$xv=is$$

Divide both sides by x.

$$\frac{xv}{x}=\frac{is}{x}$$

Dividing by x undoes the multiplication by x.

$$v=\frac{is}{x}$$

Variable v cannot be equal to 0.

$$v=\frac{is}{x}\text{, }v\neq 0$$