Solve a/A=2r

$$\frac { a } { A } = 2 r$$

Solve for A

$$\left\{\begin{matrix}A=\frac{a}{2r}\text{, }&a\neq 0\text{ and }r\neq 0\\A\neq 0\text{, }&r=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$a=2rA$$

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

$$2rA=a$$

Divide both sides by 2r.

$$\frac{2rA}{2r}=\frac{a}{2r}$$

Dividing by 2r undoes the multiplication by 2r.

$$A=\frac{a}{2r}$$

Variable A cannot be equal to 0.

$$A=\frac{a}{2r}\text{, }A\neq 0$$

Solve for a

$$a=2Ar$$

$$A\neq 0$$

Solution Steps

Multiply both sides of the equation by A.

$$a=2rA$$