Solve lambda=4.86*10^-5cm

$$\lambda = 4.86 \times 10 ^ { - 5 } cm$$

Solve for c

$$\left\{\begin{matrix}c=\frac{5000000\lambda }{243m}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&\lambda =0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\lambda =4.86\times \frac{1}{100000}cm$$

Multiply 4.86 and \frac{1}{100000} to get \frac{243}{5000000}.

$$\lambda =\frac{243}{5000000}cm$$

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

$$\frac{243}{5000000}cm=\lambda$$

The equation is in standard form.

$$\frac{243m}{5000000}c=\lambda$$

Divide both sides by \frac{243}{5000000}m.

$$\frac{5000000\times \frac{243m}{5000000}c}{243m}=\frac{5000000\lambda }{243m}$$

Dividing by \frac{243}{5000000}m undoes the multiplication by \frac{243}{5000000}m.

$$c=\frac{5000000\lambda }{243m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{5000000\lambda }{243c}\text{, }&c\neq 0\\m\in \mathrm{R}\text{, }&\lambda =0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\lambda =4.86\times \frac{1}{100000}cm$$

Multiply 4.86 and \frac{1}{100000} to get \frac{243}{5000000}.

$$\lambda =\frac{243}{5000000}cm$$

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

$$\frac{243}{5000000}cm=\lambda$$

The equation is in standard form.

$$\frac{243c}{5000000}m=\lambda$$

Divide both sides by \frac{243}{5000000}c.

$$\frac{5000000\times \frac{243c}{5000000}m}{243c}=\frac{5000000\lambda }{243c}$$

Dividing by \frac{243}{5000000}c undoes the multiplication by \frac{243}{5000000}c.

$$m=\frac{5000000\lambda }{243c}$$