Solve 4x+ky=32

$$4 x + k y = 32$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=-\frac{4\left(x-8\right)}{y}\text{, }&y\neq 0\\k\in \mathrm{C}\text{, }&x=8\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$ky=32-4x$$

The equation is in standard form.

$$yk=32-4x$$

Divide both sides by y.

$$\frac{yk}{y}=\frac{32-4x}{y}$$

Dividing by y undoes the multiplication by y.

$$k=\frac{32-4x}{y}$$

Divide 32-4x by y.

$$k=\frac{4\left(8-x\right)}{y}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{4\left(x-8\right)}{y}\text{, }&y\neq 0\\k\in \mathrm{R}\text{, }&x=8\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$ky=32-4x$$

The equation is in standard form.

$$yk=32-4x$$

Divide both sides by y.

$$\frac{yk}{y}=\frac{32-4x}{y}$$

Dividing by y undoes the multiplication by y.

$$k=\frac{32-4x}{y}$$

Divide 32-4x by y.

$$k=\frac{4\left(8-x\right)}{y}$$

Solve for x

$$x=-\frac{ky}{4}+8$$

Steps for Solving Linear Equation

Subtract ky from both sides.

$$4x=32-ky$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{32-ky}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{32-ky}{4}$$

Divide 32-ky by 4.

$$x=-\frac{ky}{4}+8$$