Solve a-a/b=1

$$a - \frac { a } { b } = 1$$

Solve for b

$$b=-\frac{a}{1-a}$$

$$a\neq 0\text{ and }a\neq 1$$

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.

$$ba-a=b$$

Subtract b from both sides.

$$ba-a-b=0$$

Add a to both sides. Anything plus zero gives itself.

$$ba-b=a$$

Combine all terms containing b.

$$\left(a-1\right)b=a$$

Divide both sides by a-1.

$$\frac{\left(a-1\right)b}{a-1}=\frac{a}{a-1}$$

Dividing by a-1 undoes the multiplication by a-1.

$$b=\frac{a}{a-1}$$

Variable b cannot be equal to 0.

$$b=\frac{a}{a-1}\text{, }b\neq 0$$

Solve for a

$$a=\frac{b}{b-1}$$

$$b\neq 1\text{ and }b\neq 0$$