Solve 1500m=1km500m

$$1500 m = 1 km 500 m$$

Solve for k

$$\left\{\begin{matrix}k=\frac{1500}{m_{500}}\text{, }&m_{500}\neq 0\\k\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$1km_{500}m=1500m$$

Reorder the terms.

$$kmm_{500}=1500m$$

The equation is in standard form.

$$mm_{500}k=1500m$$

Divide both sides by m_{500}m.

$$\frac{mm_{500}k}{mm_{500}}=\frac{1500m}{mm_{500}}$$

Dividing by m_{500}m undoes the multiplication by m_{500}m.

$$k=\frac{1500m}{mm_{500}}$$

Divide 1500m by m_{500}m.

$$k=\frac{1500}{m_{500}}$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&k=\frac{1500}{m_{500}}\text{ and }m_{500}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 1km_{500}m from both sides.

$$1500m-km_{500}m=0$$

Combine all terms containing m.

$$\left(1500-km_{500}\right)m=0$$

Divide 0 by 1500-km_{500}.

$$m=0$$