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.

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