Solve A/B=c/D

$$\frac { A } { B } = \frac { c } { D }$$

Solve for A

$$A=\frac{Bc}{D}$$

$$B\neq 0\text{ and }D\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by BD, the least common multiple of B,D.

$$DA=Bc$$

Divide both sides by D.

$$\frac{DA}{D}=\frac{Bc}{D}$$

Dividing by D undoes the multiplication by D.

$$A=\frac{Bc}{D}$$

Solve for B

$$\left\{\begin{matrix}B=\frac{AD}{c}\text{, }&D\neq 0\text{ and }A\neq 0\text{ and }c\neq 0\\B\neq 0\text{, }&c=0\text{ and }A=0\text{ and }D\neq 0\end{matrix}\right.$$

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 BD, the least common multiple of B,D.

$$DA=Bc$$

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

$$Bc=DA$$

The equation is in standard form.

$$cB=AD$$

Divide both sides by c.

$$\frac{cB}{c}=\frac{AD}{c}$$

Dividing by c undoes the multiplication by c.

$$B=\frac{AD}{c}$$

Variable B cannot be equal to 0.

$$B=\frac{AD}{c}\text{, }B\neq 0$$