Solve n/3=45000/3600*frac{m{s}}=

$$\frac { n } { 3 } = \frac { 45000 } { 3600 \cdot \frac { m } { s } } =$$

Solve for m

$$m=\frac{75s}{2n}$$

$$s\neq 0\text{ and }n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$n=\frac{1}{1200}m^{-1}s\times 45000$$

Multiply \frac{1}{1200} and 45000 to get \frac{75}{2}.

$$n=\frac{75}{2}m^{-1}s$$

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

$$\frac{75}{2}m^{-1}s=n$$

Reorder the terms.

$$\frac{75}{2}\times \frac{1}{m}s=n$$

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

$$\frac{75}{2}\times 2\times 1s=n\times 2m$$

Multiply \frac{75}{2} and 2 to get 75.

$$75\times 1s=n\times 2m$$

Multiply 75 and 1 to get 75.

$$75s=n\times 2m$$

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

$$n\times 2m=75s$$

The equation is in standard form.

$$2nm=75s$$

Divide both sides by 2n.

$$\frac{2nm}{2n}=\frac{75s}{2n}$$

Dividing by 2n undoes the multiplication by 2n.

$$m=\frac{75s}{2n}$$

Variable m cannot be equal to 0.

$$m=\frac{75s}{2n}\text{, }m\neq 0$$

Solve for n

$$n=\frac{75s}{2m}$$

$$m\neq 0\text{ and }s\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{3}n=\frac{25s}{2m}$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}n}{\frac{1}{3}}=\frac{25s}{\frac{1}{3}\times 2m}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$n=\frac{25s}{\frac{1}{3}\times 2m}$$

Divide \frac{25s}{2m} by \frac{1}{3} by multiplying \frac{25s}{2m} by the reciprocal of \frac{1}{3}.

$$n=\frac{75s}{2m}$$