Solve 8ft=6yd

$$8 ft = 6 yd$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{4ft}{3y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&\left(f=0\text{ or }t=0\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$6yd=8ft$$

Divide both sides by 6y.

$$\frac{6yd}{6y}=\frac{8ft}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

$$d=\frac{8ft}{6y}$$

Divide 8ft by 6y.

$$d=\frac{4ft}{3y}$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{3dy}{4t}\text{, }&t\neq 0\\f\in \mathrm{C}\text{, }&\left(y=0\text{ or }d=0\right)\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$8tf=6dy$$

Divide both sides by 8t.

$$\frac{8tf}{8t}=\frac{6dy}{8t}$$

Dividing by 8t undoes the multiplication by 8t.

$$f=\frac{6dy}{8t}$$

Divide 6yd by 8t.

$$f=\frac{3dy}{4t}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{4ft}{3y}\text{, }&y\neq 0\\d\in \mathrm{R}\text{, }&\left(f=0\text{ or }t=0\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$6yd=8ft$$

Divide both sides by 6y.

$$\frac{6yd}{6y}=\frac{8ft}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

$$d=\frac{8ft}{6y}$$

Divide 8ft by 6y.

$$d=\frac{4ft}{3y}$$

Solve for f

$$\left\{\begin{matrix}f=\frac{3dy}{4t}\text{, }&t\neq 0\\f\in \mathrm{R}\text{, }&\left(y=0\text{ or }d=0\right)\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$8tf=6dy$$

Divide both sides by 8t.

$$\frac{8tf}{8t}=\frac{6dy}{8t}$$

Dividing by 8t undoes the multiplication by 8t.

$$f=\frac{6dy}{8t}$$

Divide 6yd by 8t.

$$f=\frac{3dy}{4t}$$