Solve P+4/p-4=13

$$\frac { P + 4 } { p - 4 } = 13$$

Solve for P

$$P=13p-56$$

$$p\neq 4$$

Solution Steps

Multiply both sides of the equation by p-4.

$$P+4=13\left(p-4\right)$$

Use the distributive property to multiply 13 by p-4.

$$P+4=13p-52$$

Subtract 4 from both sides.

$$P=13p-52-4$$

Subtract 4 from -52 to get -56.

$$P=13p-56$$

Solve for p

$$p=\frac{P+56}{13}$$

$$P\neq -4$$

Steps for Solving Linear Equation

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

$$P+4=13\left(p-4\right)$$

Use the distributive property to multiply 13 by p-4.

$$P+4=13p-52$$

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

$$13p-52=P+4$$

Add 52 to both sides.

$$13p=P+4+52$$

Add 4 and 52 to get 56.

$$13p=P+56$$

Divide both sides by 13.

$$\frac{13p}{13}=\frac{P+56}{13}$$

Dividing by 13 undoes the multiplication by 13.

$$p=\frac{P+56}{13}$$

Variable p cannot be equal to 4.

$$p=\frac{P+56}{13}\text{, }p\neq 4$$