Solve y=-f(x)

$$y = -f(x)$$

Solve for f (complex solution)

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

Steps for Solving Linear Equation

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

$$\left(-f\right)x=y$$

Reorder the terms.

$$-fx=y$$

The equation is in standard form.

$$\left(-x\right)f=y$$

Divide both sides by -x.

$$\frac{\left(-x\right)f}{-x}=\frac{y}{-x}$$

Dividing by -x undoes the multiplication by -x.

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

Divide y by -x.

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

Solve for x (complex solution)

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

Steps for Solving Linear Equation

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

$$\left(-f\right)x=y$$

Divide both sides by -f.

$$\frac{\left(-f\right)x}{-f}=\frac{y}{-f}$$

Dividing by -f undoes the multiplication by -f.

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

Divide y by -f.

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

Solve for f

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

Steps for Solving Linear Equation

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

$$\left(-f\right)x=y$$

Reorder the terms.

$$-fx=y$$

The equation is in standard form.

$$\left(-x\right)f=y$$

Divide both sides by -x.

$$\frac{\left(-x\right)f}{-x}=\frac{y}{-x}$$

Dividing by -x undoes the multiplication by -x.

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

Divide y by -x.

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

Solve for x

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

Steps for Solving Linear Equation

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

$$\left(-f\right)x=y$$

Divide both sides by -f.

$$\frac{\left(-f\right)x}{-f}=\frac{y}{-f}$$

Dividing by -f undoes the multiplication by -f.

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

Divide y by -f.

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