Solve m/n=4/2=

$$\frac { m } { n } = \frac { 4 } { 2 } =$$

Solve for m

$$m=2n$$

$$n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2n, the least common multiple of n,2.

$$2m=n\times 4$$

The equation is in standard form.

$$2m=4n$$

Divide both sides by 2.

$$\frac{2m}{2}=\frac{4n}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$m=\frac{4n}{2}$$

Divide 4n by 2.

$$m=2n$$

Solve for n

$$n=\frac{m}{2}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2n, the least common multiple of n,2.

$$2m=n\times 4$$

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

$$n\times 4=2m$$

The equation is in standard form.

$$4n=2m$$

Divide both sides by 4.

$$\frac{4n}{4}=\frac{2m}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$n=\frac{2m}{4}$$

Divide 2m by 4.

$$n=\frac{m}{2}$$

Variable n cannot be equal to 0.

$$n=\frac{m}{2}\text{, }n\neq 0$$