Solve 57cm=dm+cm

$$57 cm = dm + cm$$

Solve for c

$$\left\{\begin{matrix}\\c=\frac{d}{56}\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract cm from both sides.

$$57cm-cm=dm$$

Combine 57cm and -cm to get 56cm.

$$56cm=dm$$

The equation is in standard form.

$$56mc=dm$$

Divide both sides by 56m.

$$\frac{56mc}{56m}=\frac{dm}{56m}$$

Dividing by 56m undoes the multiplication by 56m.

$$c=\frac{dm}{56m}$$

Divide dm by 56m.

$$c=\frac{d}{56}$$

Solve for d

$$\left\{\begin{matrix}\\d=56c\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$dm+cm=57cm$$

Subtract cm from both sides.

$$dm=57cm-cm$$

Combine 57cm and -cm to get 56cm.

$$dm=56cm$$

The equation is in standard form.

$$md=56cm$$

Divide both sides by m.

$$\frac{md}{m}=\frac{56cm}{m}$$

Dividing by m undoes the multiplication by m.

$$d=\frac{56cm}{m}$$

Divide 56cm by m.

$$d=56c$$