Solve P=x/x+1

$$P = \frac{ x }{ x+1 }$$

Solve for x

$$x=-\frac{P}{P-1}$$

$$P\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$P\left(x+1\right)=x$$

Use the distributive property to multiply P by x+1.

$$Px+P=x$$

Subtract x from both sides.

$$Px+P-x=0$$

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

$$Px-x=-P$$

Combine all terms containing x.

$$\left(P-1\right)x=-P$$

Divide both sides by P-1.

$$\frac{\left(P-1\right)x}{P-1}=-\frac{P}{P-1}$$

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

$$x=-\frac{P}{P-1}$$

Variable x cannot be equal to -1.

$$x=-\frac{P}{P-1}\text{, }x\neq -1$$

Solve for P

$$P=\frac{x}{x+1}$$

$$x\neq -1$$