Solve 0.5cm=7dm

$$0.5 cm = 7 dm$$

Solve for c

$$\left\{\begin{matrix}\\c=14d\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{m}{2}c=7dm$$

Divide both sides by 0.5m.

$$\frac{2\times \frac{m}{2}c}{m}=\frac{2\times 7dm}{m}$$

Dividing by 0.5m undoes the multiplication by 0.5m.

$$c=\frac{2\times 7dm}{m}$$

Divide 7dm by 0.5m.

$$c=14d$$

Solve for d

$$\left\{\begin{matrix}\\d=\frac{c}{14}\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$7dm=0.5cm$$

The equation is in standard form.

$$7md=\frac{cm}{2}$$

Divide both sides by 7m.

$$\frac{7md}{7m}=\frac{cm}{2\times 7m}$$

Dividing by 7m undoes the multiplication by 7m.

$$d=\frac{cm}{2\times 7m}$$

Divide \frac{cm}{2} by 7m.

$$d=\frac{c}{14}$$