Solve AF=1/3AC

$$AF = \frac { 1 } { 3 } AC$$

Solve for A (complex solution)

$$\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{C}\text{, }&F=\frac{C}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}AC from both sides.

$$AF-\frac{1}{3}AC=0$$

Combine all terms containing A.

$$\left(F-\frac{1}{3}C\right)A=0$$

The equation is in standard form.

$$\left(-\frac{C}{3}+F\right)A=0$$

Divide 0 by F-\frac{1}{3}C.

$$A=0$$

Solve for C (complex solution)

$$\left\{\begin{matrix}\\C=3F\text{, }&\text{unconditionally}\\C\in \mathrm{C}\text{, }&A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{1}{3}AC=AF$$

The equation is in standard form.

$$\frac{A}{3}C=AF$$

Divide both sides by \frac{1}{3}A.

$$\frac{3\times \frac{A}{3}C}{A}=\frac{3AF}{A}$$

Dividing by \frac{1}{3}A undoes the multiplication by \frac{1}{3}A.

$$C=\frac{3AF}{A}$$

Divide AF by \frac{1}{3}A.

$$C=3F$$

Solve for A

$$\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&F=\frac{C}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}AC from both sides.

$$AF-\frac{1}{3}AC=0$$

Combine all terms containing A.

$$\left(F-\frac{1}{3}C\right)A=0$$

The equation is in standard form.

$$\left(-\frac{C}{3}+F\right)A=0$$

Divide 0 by F-\frac{1}{3}C.

$$A=0$$

Solve for C

$$\left\{\begin{matrix}\\C=3F\text{, }&\text{unconditionally}\\C\in \mathrm{R}\text{, }&A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{1}{3}AC=AF$$

The equation is in standard form.

$$\frac{A}{3}C=AF$$

Divide both sides by \frac{1}{3}A.

$$\frac{3\times \frac{A}{3}C}{A}=\frac{3AF}{A}$$

Dividing by \frac{1}{3}A undoes the multiplication by \frac{1}{3}A.

$$C=\frac{3AF}{A}$$

Divide AF by \frac{1}{3}A.

$$C=3F$$