Solve A=P(1+r

$$A = P ( 1 + r$$

Solve for P

$$\left\{\begin{matrix}P=\frac{A}{r+1}\text{, }&r\neq -1\\P\in \mathrm{R}\text{, }&A=0\text{ and }r=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$A=P+Pr$$

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

$$P+Pr=A$$

Combine all terms containing P.

$$\left(1+r\right)P=A$$

The equation is in standard form.

$$\left(r+1\right)P=A$$

Divide both sides by 1+r.

$$\frac{\left(r+1\right)P}{r+1}=\frac{A}{r+1}$$

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

$$P=\frac{A}{r+1}$$

Solve for A

$$A=P\left(r+1\right)$$

Solution Steps

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

$$A=P+Pr$$