Solve x+yz/z+1=b

$$\frac { x + y z } { z + 1 } = b$$

Solve for b

$$b=\frac{x+yz}{z+1}$$

$$z\neq -1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z+1.

$$x+yz=b\left(z+1\right)$$

Use the distributive property to multiply b by z+1.

$$x+yz=bz+b$$

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

$$bz+b=x+yz$$

Combine all terms containing b.

$$\left(z+1\right)b=x+yz$$

Divide both sides by z+1.

$$\frac{\left(z+1\right)b}{z+1}=\frac{x+yz}{z+1}$$

Dividing by z+1 undoes the multiplication by z+1.

$$b=\frac{x+yz}{z+1}$$

Solve for x

$$x=b+bz-yz$$

$$z\neq -1$$