Solve P=x+3/x

$$P = \frac { x + 3 } { x }$$

Solve for x

$$x=\frac{3}{P-1}$$

$$P\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$Px=x+3$$

Subtract x from both sides.

$$Px-x=3$$

Combine all terms containing x.

$$\left(P-1\right)x=3$$

Divide both sides by P-1.

$$\frac{\left(P-1\right)x}{P-1}=\frac{3}{P-1}$$

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

$$x=\frac{3}{P-1}$$

Variable x cannot be equal to 0.

$$x=\frac{3}{P-1}\text{, }x\neq 0$$

Solve for P

$$P=\frac{x+3}{x}$$

$$x\neq 0$$