Solve A/b=h/6

$$\frac { A } { b } = \frac { h } { 6 }$$

Solve for A

$$A=\frac{bh}{6}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6b, the least common multiple of b,6.

$$6A=bh$$

Divide both sides by 6.

$$\frac{6A}{6}=\frac{bh}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$A=\frac{bh}{6}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{6A}{h}\text{, }&A\neq 0\text{ and }h\neq 0\\b\neq 0\text{, }&h=0\text{ and }A=0\end{matrix}\right.$$

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 6b, the least common multiple of b,6.

$$6A=bh$$

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

$$bh=6A$$

The equation is in standard form.

$$hb=6A$$

Divide both sides by h.

$$\frac{hb}{h}=\frac{6A}{h}$$

Dividing by h undoes the multiplication by h.

$$b=\frac{6A}{h}$$

Variable b cannot be equal to 0.

$$b=\frac{6A}{h}\text{, }b\neq 0$$