Solve v=S/t

$$v = \frac { S } { t }$$

Solve for S

$$S=tv$$

$$t\neq 0$$

Solution Steps

Multiply both sides of the equation by t.

$$vt=S$$

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

$$S=vt$$

Solve for t

$$\left\{\begin{matrix}t=\frac{S}{v}\text{, }&S\neq 0\text{ and }v\neq 0\\t\neq 0\text{, }&v=0\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$vt=S$$

Divide both sides by v.

$$\frac{vt}{v}=\frac{S}{v}$$

Dividing by v undoes the multiplication by v.

$$t=\frac{S}{v}$$

Variable t cannot be equal to 0.

$$t=\frac{S}{v}\text{, }t\neq 0$$