Solve b/r_{1}=1/varepsilon

$$\frac { b } { r _ { 1 } } = \frac { 1 } { \varepsilon }$$

Solve for b

$$b=\frac{r_{1}}{\epsilon }$$

$$r_{1}\neq 0\text{ and }\epsilon \neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by r_{1}\epsilon , the least common multiple of r_{1},\epsilon .

$$\epsilon b=r_{1}$$

Divide both sides by \epsilon .

$$\frac{\epsilon b}{\epsilon }=\frac{r_{1}}{\epsilon }$$

Dividing by \epsilon undoes the multiplication by \epsilon .

$$b=\frac{r_{1}}{\epsilon }$$

Solve for r_1

$$r_{1}=b\epsilon$$

$$\epsilon \neq 0\text{ and }b\neq 0$$

Solution Steps

Variable r_{1} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by r_{1}\epsilon , the least common multiple of r_{1},\epsilon .

$$\epsilon b=r_{1}$$

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

$$r_{1}=\epsilon b$$

Variable r_{1} cannot be equal to 0.

$$r_{1}=\epsilon b\text{, }r_{1}\neq 0$$