Solve F=-ky

$$F = - k y$$

Solve for k (complex solution)

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

Steps for Solving Linear Equation

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

$$\left(-k\right)y=F$$

Reorder the terms.

$$-ky=F$$

The equation is in standard form.

$$\left(-y\right)k=F$$

Divide both sides by -y.

$$\frac{\left(-y\right)k}{-y}=\frac{F}{-y}$$

Dividing by -y undoes the multiplication by -y.

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

Divide F by -y.

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

Solve for k

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

Steps for Solving Linear Equation

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

$$\left(-k\right)y=F$$

Reorder the terms.

$$-ky=F$$

The equation is in standard form.

$$\left(-y\right)k=F$$

Divide both sides by -y.

$$\frac{\left(-y\right)k}{-y}=\frac{F}{-y}$$

Dividing by -y undoes the multiplication by -y.

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

Divide F by -y.

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

Solve for F

$$F=-ky$$

Solution Steps

Reorder the terms.

$$F=-ky$$