Solve 20-3x/b=a

$$\frac { 20 - 3 x } { b } = a$$

Solve for a

$$a=\frac{20-3x}{b}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$20-3x=ab$$

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

$$ab=20-3x$$

The equation is in standard form.

$$ba=20-3x$$

Divide both sides by b.

$$\frac{ba}{b}=\frac{20-3x}{b}$$

Dividing by b undoes the multiplication by b.

$$a=\frac{20-3x}{b}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{20-3x}{a}\text{, }&x\neq \frac{20}{3}\text{ and }a\neq 0\\b\neq 0\text{, }&a=0\text{ and }x=\frac{20}{3}\end{matrix}\right.$$

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 b.

$$20-3x=ab$$

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

$$ab=20-3x$$

Divide both sides by a.

$$\frac{ab}{a}=\frac{20-3x}{a}$$

Dividing by a undoes the multiplication by a.

$$b=\frac{20-3x}{a}$$

Variable b cannot be equal to 0.

$$b=\frac{20-3x}{a}\text{, }b\neq 0$$