Solve .78hm=cm

$$.78 hm = cm$$

Solve for c

$$\left\{\begin{matrix}\\c=\frac{39h}{50}\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$cm=0.78hm$$

The equation is in standard form.

$$mc=\frac{39hm}{50}$$

Divide both sides by m.

$$\frac{mc}{m}=\frac{39hm}{50m}$$

Dividing by m undoes the multiplication by m.

$$c=\frac{39hm}{50m}$$

Divide \frac{39hm}{50} by m.

$$c=\frac{39h}{50}$$

Solve for h

$$\left\{\begin{matrix}\\h=\frac{50c}{39}\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{39m}{50}h=cm$$

Divide both sides by 0.78m.

$$\frac{50\times \frac{39m}{50}h}{39m}=\frac{50cm}{39m}$$

Dividing by 0.78m undoes the multiplication by 0.78m.

$$h=\frac{50cm}{39m}$$

Divide cm by 0.78m.

$$h=\frac{50c}{39}$$