Solve a/x=c/b

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

Solve for a

$$a=\frac{cx}{b}$$

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

Steps for Solving Linear Equation

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

$$ba=xc$$

The equation is in standard form.

$$ba=cx$$

Divide both sides by b.

$$\frac{ba}{b}=\frac{cx}{b}$$

Dividing by b undoes the multiplication by b.

$$a=\frac{cx}{b}$$

Solve for b

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

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 bx, the least common multiple of x,b.

$$ba=xc$$

The equation is in standard form.

$$ab=cx$$

Divide both sides by a.

$$\frac{ab}{a}=\frac{cx}{a}$$

Dividing by a undoes the multiplication by a.

$$b=\frac{cx}{a}$$

Variable b cannot be equal to 0.

$$b=\frac{cx}{a}\text{, }b\neq 0$$