Solve A/C=E/B

$$\frac { A } { C } = \frac { E } { B }$$

Solve for A

$$A=\frac{CE}{B}$$

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

Steps for Solving Linear Equation

Multiply both sides of the equation by BC, the least common multiple of C,B.

$$BA=CE$$

Divide both sides by B.

$$\frac{BA}{B}=\frac{CE}{B}$$

Dividing by B undoes the multiplication by B.

$$A=\frac{CE}{B}$$

Solve for B

$$\left\{\begin{matrix}B=\frac{CE}{A}\text{, }&C\neq 0\text{ and }E\neq 0\text{ and }A\neq 0\\B\neq 0\text{, }&A=0\text{ and }E=0\text{ and }C\neq 0\end{matrix}\right.$$

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 BC, the least common multiple of C,B.

$$BA=CE$$

The equation is in standard form.

$$AB=CE$$

Divide both sides by A.

$$\frac{AB}{A}=\frac{CE}{A}$$

Dividing by A undoes the multiplication by A.

$$B=\frac{CE}{A}$$

Variable B cannot be equal to 0.

$$B=\frac{CE}{A}\text{, }B\neq 0$$