Solve u=xk-y

$$u = x k - y$$

Solve for k (complex solution)

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

Steps for Solving Linear Equation

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

$$xk-y=u$$

Add y to both sides.

$$xk=u+y$$

The equation is in standard form.

$$xk=y+u$$

Divide both sides by x.

$$\frac{xk}{x}=\frac{y+u}{x}$$

Dividing by x undoes the multiplication by x.

$$k=\frac{y+u}{x}$$

Solve for k

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

Steps for Solving Linear Equation

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

$$xk-y=u$$

Add y to both sides.

$$xk=u+y$$

The equation is in standard form.

$$xk=y+u$$

Divide both sides by x.

$$\frac{xk}{x}=\frac{y+u}{x}$$

Dividing by x undoes the multiplication by x.

$$k=\frac{y+u}{x}$$

Solve for u

$$u=kx-y$$