Solve A+1/B=1

$$A + \frac { 1 } { B } = 1$$

Solve for A

$$A=\frac{B-1}{B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by B.

$$BA+1=B$$

Subtract 1 from both sides.

$$BA=B-1$$

Divide both sides by B.

$$\frac{BA}{B}=\frac{B-1}{B}$$

Dividing by B undoes the multiplication by B.

$$A=\frac{B-1}{B}$$

Solve for B

$$B=-\frac{1}{A-1}$$

$$A\neq 1$$

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.

$$BA+1=B$$

Subtract B from both sides.

$$BA+1-B=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$BA-B=-1$$

Combine all terms containing B.

$$\left(A-1\right)B=-1$$

Divide both sides by A-1.

$$\frac{\left(A-1\right)B}{A-1}=-\frac{1}{A-1}$$

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

$$B=-\frac{1}{A-1}$$

Variable B cannot be equal to 0.

$$B=-\frac{1}{A-1}\text{, }B\neq 0$$