Solve 17/rlambda=varepsilon/v

$$\frac { 17 } { r \lambda } = \frac { \varepsilon } { v }$$

Solve for r

$$r=\frac{17v}{\epsilon \lambda }$$

$$v\neq 0\text{ and }\lambda \neq 0\text{ and }\epsilon \neq 0$$

Steps for Solving Linear Equation

Variable r cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by rv\lambda , the least common multiple of r\lambda ,v.

$$v\times 17=r\lambda \epsilon$$

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

$$r\lambda \epsilon =v\times 17$$

The equation is in standard form.

$$\epsilon \lambda r=17v$$

Divide both sides by \lambda \epsilon .

$$\frac{\epsilon \lambda r}{\epsilon \lambda }=\frac{17v}{\epsilon \lambda }$$

Dividing by \lambda \epsilon undoes the multiplication by \lambda \epsilon .

$$r=\frac{17v}{\epsilon \lambda }$$

Variable r cannot be equal to 0.

$$r=\frac{17v}{\epsilon \lambda }\text{, }r\neq 0$$

Solve for v

$$v=\frac{r\epsilon \lambda }{17}$$

$$\epsilon \neq 0\text{ and }r\neq 0\text{ and }\lambda \neq 0$$

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 rv\lambda , the least common multiple of r\lambda ,v.

$$v\times 17=r\lambda \epsilon$$

Reorder the terms.

$$17v=r\epsilon \lambda$$

Divide both sides by 17.

$$\frac{17v}{17}=\frac{r\epsilon \lambda }{17}$$

Dividing by 17 undoes the multiplication by 17.

$$v=\frac{r\epsilon \lambda }{17}$$

Variable v cannot be equal to 0.

$$v=\frac{r\epsilon \lambda }{17}\text{, }v\neq 0$$