Solve y=fx+dx

$$y = f x + d x$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=-f+\frac{y}{x}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fx+dx=y$$

Subtract fx from both sides.

$$dx=y-fx$$

The equation is in standard form.

$$xd=y-fx$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{y-fx}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{y-fx}{x}$$

Divide y-fx by x.

$$d=-f+\frac{y}{x}$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=-d+\frac{y}{x}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fx+dx=y$$

Subtract dx from both sides.

$$fx=y-dx$$

The equation is in standard form.

$$xf=y-dx$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{y-dx}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{y-dx}{x}$$

Divide y-dx by x.

$$f=-d+\frac{y}{x}$$

Solve for d

$$\left\{\begin{matrix}d=-f+\frac{y}{x}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fx+dx=y$$

Subtract fx from both sides.

$$dx=y-fx$$

The equation is in standard form.

$$xd=y-fx$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{y-fx}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{y-fx}{x}$$

Divide y-fx by x.

$$d=-f+\frac{y}{x}$$

Solve for f

$$\left\{\begin{matrix}f=-d+\frac{y}{x}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fx+dx=y$$

Subtract dx from both sides.

$$fx=y-dx$$

The equation is in standard form.

$$xf=y-dx$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{y-dx}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{y-dx}{x}$$

Divide y-dx by x.

$$f=-d+\frac{y}{x}$$