Solve b/a=d/cx

$$\frac { b } { a } = \frac { d } { c } x$$

Solve for a

$$\left\{\begin{matrix}a=\frac{bc}{dx}\text{, }&c\neq 0\text{ and }b\neq 0\text{ and }x\neq 0\text{ and }d\neq 0\\a\neq 0\text{, }&\left(x=0\text{ or }d=0\right)\text{ and }b=0\text{ and }c\neq 0\end{matrix}\right.$$

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 ac, the least common multiple of a,c.

$$cb=adx$$

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

$$adx=cb$$

The equation is in standard form.

$$dxa=bc$$

Divide both sides by dx.

$$\frac{dxa}{dx}=\frac{bc}{dx}$$

Dividing by dx undoes the multiplication by dx.

$$a=\frac{bc}{dx}$$

Variable a cannot be equal to 0.

$$a=\frac{bc}{dx}\text{, }a\neq 0$$

Solve for b

$$b=\frac{adx}{c}$$

$$a\neq 0\text{ and }c\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ac, the least common multiple of a,c.

$$cb=adx$$

Divide both sides by c.

$$\frac{cb}{c}=\frac{adx}{c}$$

Dividing by c undoes the multiplication by c.

$$b=\frac{adx}{c}$$