Solve MB/AM=3/5*D

$$\frac { M B } { A M } = \frac { 3 } { 5 } \cdot D$$

Solve for A

$$\left\{\begin{matrix}A=\frac{5B}{3D}\text{, }&B\neq 0\text{ and }D\neq 0\text{ and }M\neq 0\\A\neq 0\text{, }&D=0\text{ and }B=0\text{ and }M\neq 0\end{matrix}\right.$$

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 5AM, the least common multiple of AM,5.

$$5MB=\frac{3}{5}D\times 5AM$$

Multiply \frac{3}{5} and 5 to get 3.

$$5MB=3DAM$$

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

$$3DAM=5MB$$

The equation is in standard form.

$$3DMA=5BM$$

Divide both sides by 3DM.

$$\frac{3DMA}{3DM}=\frac{5BM}{3DM}$$

Dividing by 3DM undoes the multiplication by 3DM.

$$A=\frac{5BM}{3DM}$$

Divide 5MB by 3DM.

$$A=\frac{5B}{3D}$$

Variable A cannot be equal to 0.

$$A=\frac{5B}{3D}\text{, }A\neq 0$$

Solve for B

$$B=\frac{3AD}{5}$$

$$A\neq 0\text{ and }M\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5AM, the least common multiple of AM,5.

$$5MB=\frac{3}{5}D\times 5AM$$

Multiply \frac{3}{5} and 5 to get 3.

$$5MB=3DAM$$

The equation is in standard form.

$$5MB=3ADM$$

Divide both sides by 5M.

$$\frac{5MB}{5M}=\frac{3ADM}{5M}$$

Dividing by 5M undoes the multiplication by 5M.

$$B=\frac{3ADM}{5M}$$

Divide 3DAM by 5M.

$$B=\frac{3AD}{5}$$