Solve A/B=Delta/5

$$\frac { A } { B } = \frac { \Delta } { 5 }$$

Solve for A

$$A=\frac{B\Delta }{5}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5B, the least common multiple of B,5.

$$5A=B\Delta$$

Divide both sides by 5.

$$\frac{5A}{5}=\frac{B\Delta }{5}$$

Dividing by 5 undoes the multiplication by 5.

$$A=\frac{B\Delta }{5}$$

Solve for B

$$\left\{\begin{matrix}B=\frac{5A}{\Delta }\text{, }&A\neq 0\text{ and }\Delta \neq 0\\B\neq 0\text{, }&\Delta =0\text{ and }A=0\end{matrix}\right.$$

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 5B, the least common multiple of B,5.

$$5A=B\Delta$$

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

$$B\Delta =5A$$

The equation is in standard form.

$$\Delta B=5A$$

Divide both sides by \Delta .

$$\frac{\Delta B}{\Delta }=\frac{5A}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$B=\frac{5A}{\Delta }$$

Variable B cannot be equal to 0.

$$B=\frac{5A}{\Delta }\text{, }B\neq 0$$