Solve h/7=A/b

$$\frac { h } { 7 } = \frac { A } { b }$$

Solve for A

$$A=\frac{bh}{7}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7b, the least common multiple of 7,b.

$$bh=7A$$

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

$$7A=bh$$

Divide both sides by 7.

$$\frac{7A}{7}=\frac{bh}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$A=\frac{bh}{7}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{7A}{h}\text{, }&A\neq 0\text{ and }h\neq 0\\b\neq 0\text{, }&h=0\text{ and }A=0\end{matrix}\right.$$

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

$$bh=7A$$

The equation is in standard form.

$$hb=7A$$

Divide both sides by h.

$$\frac{hb}{h}=\frac{7A}{h}$$

Dividing by h undoes the multiplication by h.

$$b=\frac{7A}{h}$$

Variable b cannot be equal to 0.

$$b=\frac{7A}{h}\text{, }b\neq 0$$