Solve n=m/M=

$$n = \frac { m } { M } =$$

Solve for M

$$\left\{\begin{matrix}M=\frac{m}{n}\text{, }&m\neq 0\text{ and }n\neq 0\\M\neq 0\text{, }&n=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$nM=m$$

Divide both sides by n.

$$\frac{nM}{n}=\frac{m}{n}$$

Dividing by n undoes the multiplication by n.

$$M=\frac{m}{n}$$

Variable M cannot be equal to 0.

$$M=\frac{m}{n}\text{, }M\neq 0$$

Solve for m

$$m=Mn$$

$$M\neq 0$$

Solution Steps

Multiply both sides of the equation by M.

$$nM=m$$

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

$$m=nM$$