Solve AD/AB=5/7

$$\frac { A D } { A B } = \frac { 5 } { 7 }$$

Solve for A

$$A\neq 0$$

$$B=\frac{7D}{5}\text{ and }D\neq 0$$

Steps for Solving Linear Equation

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7AB, the least common multiple of AB,7.

$$7AD=5AB$$

Subtract 5AB from both sides.

$$7AD-5AB=0$$

Combine all terms containing A.

$$\left(7D-5B\right)A=0$$

Divide 0 by 7D-5B.

$$A=0$$

Variable A cannot be equal to 0.

$$A\in \emptyset$$

Solve for B

$$B=\frac{7D}{5}$$

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

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 7AB, the least common multiple of AB,7.

$$7AD=5AB$$

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

$$5AB=7AD$$

Divide both sides by 5A.

$$\frac{5AB}{5A}=\frac{7AD}{5A}$$

Dividing by 5A undoes the multiplication by 5A.

$$B=\frac{7AD}{5A}$$

Divide 7AD by 5A.

$$B=\frac{7D}{5}$$

Variable B cannot be equal to 0.

$$B=\frac{7D}{5}\text{, }B\neq 0$$