Solve x/d=a/b

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

Solve for a

$$a=\frac{bx}{d}$$

$$d\neq 0\text{ and }b\neq 0$$

Steps for Solving Linear Equation

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

$$bx=da$$

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

$$da=bx$$

Divide both sides by d.

$$\frac{da}{d}=\frac{bx}{d}$$

Dividing by d undoes the multiplication by d.

$$a=\frac{bx}{d}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{ad}{x}\text{, }&a\neq 0\text{ and }d\neq 0\text{ and }x\neq 0\\b\neq 0\text{, }&x=0\text{ and }a=0\text{ and }d\neq 0\end{matrix}\right.$$

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 bd, the least common multiple of d,b.

$$bx=da$$

The equation is in standard form.

$$xb=ad$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{ad}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{ad}{x}$$

Variable b cannot be equal to 0.

$$b=\frac{ad}{x}\text{, }b\neq 0$$