Solve 2r/4+r=P

$$\frac { 2 r } { 4 + r } = P$$

Solve for P

$$P=\frac{2r}{r+4}$$

$$r\neq -4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by r+4.

$$2r=P\left(r+4\right)$$

Use the distributive property to multiply P by r+4.

$$2r=Pr+4P$$

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

$$Pr+4P=2r$$

Combine all terms containing P.

$$\left(r+4\right)P=2r$$

Divide both sides by 4+r.

$$\frac{\left(r+4\right)P}{r+4}=\frac{2r}{r+4}$$

Dividing by 4+r undoes the multiplication by 4+r.

$$P=\frac{2r}{r+4}$$

Solve for r

$$r=\frac{4P}{2-P}$$

$$P\neq 2$$

Steps for Solving Linear Equation

Variable r cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by r+4.

$$2r=P\left(r+4\right)$$

Use the distributive property to multiply P by r+4.

$$2r=Pr+4P$$

Subtract Pr from both sides.

$$2r-Pr=4P$$

Combine all terms containing r.

$$\left(2-P\right)r=4P$$

Divide both sides by 2-P.

$$\frac{\left(2-P\right)r}{2-P}=\frac{4P}{2-P}$$

Dividing by 2-P undoes the multiplication by 2-P.

$$r=\frac{4P}{2-P}$$

Variable r cannot be equal to -4.

$$r=\frac{4P}{2-P}\text{, }r\neq -4$$