Solve 6x-ky+16=0

$$6 x - k y + 16 = 0$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{2\left(3x+8\right)}{y}\text{, }&y\neq 0\\k\in \mathrm{C}\text{, }&x=-\frac{8}{3}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 6x from both sides. Anything subtracted from zero gives its negation.

$$-ky+16=-6x$$

Subtract 16 from both sides.

$$-ky=-6x-16$$

The equation is in standard form.

$$\left(-y\right)k=-6x-16$$

Divide both sides by -y.

$$\frac{\left(-y\right)k}{-y}=\frac{-6x-16}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$k=\frac{-6x-16}{-y}$$

Divide -16-6x by -y.

$$k=\frac{2\left(3x+8\right)}{y}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{2\left(3x+8\right)}{y}\text{, }&y\neq 0\\k\in \mathrm{R}\text{, }&x=-\frac{8}{3}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 6x from both sides. Anything subtracted from zero gives its negation.

$$-ky+16=-6x$$

Subtract 16 from both sides.

$$-ky=-6x-16$$

The equation is in standard form.

$$\left(-y\right)k=-6x-16$$

Divide both sides by -y.

$$\frac{\left(-y\right)k}{-y}=\frac{-6x-16}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$k=\frac{-6x-16}{-y}$$

Divide -6x-16 by -y.

$$k=\frac{2\left(3x+8\right)}{y}$$

Solve for x

$$x=\frac{ky-16}{6}$$

Steps for Solving Linear Equation

Add ky to both sides. Anything plus zero gives itself.

$$6x+16=ky$$

Subtract 16 from both sides.

$$6x=ky-16$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{ky-16}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{ky-16}{6}$$

Divide ky-16 by 6.

$$x=\frac{ky}{6}-\frac{8}{3}$$