Solve ax-b/c=d

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

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{cd+b}{x}\text{, }&x\neq 0\text{ and }c\neq 0\\a\in \mathrm{C}\text{, }&b=-cd\text{ and }x=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$ax-b=dc$$

Add b to both sides.

$$ax=dc+b$$

The equation is in standard form.

$$xa=b+cd$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{b+cd}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{b+cd}{x}$$

Divide b+cd by x.

$$a=\frac{cd+b}{x}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{cd+b}{x}\text{, }&x\neq 0\text{ and }c\neq 0\\a\in \mathrm{R}\text{, }&b=-cd\text{ and }x=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$ax-b=dc$$

Add b to both sides.

$$ax=dc+b$$

The equation is in standard form.

$$xa=b+cd$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{b+cd}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{b+cd}{x}$$

Divide b+cd by x.

$$a=\frac{cd+b}{x}$$

Solve for b

$$b=ax-cd$$

$$c\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$ax-b=dc$$

Subtract ax from both sides.

$$-b=dc-ax$$

The equation is in standard form.

$$-b=cd-ax$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{cd-ax}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{cd-ax}{-1}$$

Divide dc-ax by -1.

$$b=ax-cd$$