Solve P=100(5-B/B)

$$P = 100 ( \frac { 5 - B } { B } )$$

Solve for B

$$B=\frac{500}{P+100}$$

$$P\neq -100$$

Steps for Solving Linear Equation

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

$$PB=100\left(5-B\right)$$

Use the distributive property to multiply 100 by 5-B.

$$PB=500-100B$$

Add 100B to both sides.

$$PB+100B=500$$

Combine all terms containing B.

$$\left(P+100\right)B=500$$

Divide both sides by P+100.

$$\frac{\left(P+100\right)B}{P+100}=\frac{500}{P+100}$$

Dividing by P+100 undoes the multiplication by P+100.

$$B=\frac{500}{P+100}$$

Variable B cannot be equal to 0.

$$B=\frac{500}{P+100}\text{, }B\neq 0$$

Solve for P

$$P=-100+\frac{500}{B}$$

$$B\neq 0$$