Solve Sigma+xs=t-xz

$$\Sigma + x s = t - x z$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=-\frac{xz+Σ-t}{x}\text{, }&x\neq 0\\s\in \mathrm{C}\text{, }&Σ=t\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract Σ from both sides.

$$xs=t-xz-Σ$$

The equation is in standard form.

$$xs=-xz+t-Σ$$

Divide both sides by x.

$$\frac{xs}{x}=\frac{-xz+t-Σ}{x}$$

Dividing by x undoes the multiplication by x.

$$s=\frac{-xz+t-Σ}{x}$$

Solve for s

$$\left\{\begin{matrix}s=-\frac{xz+Σ-t}{x}\text{, }&x\neq 0\\s\in \mathrm{R}\text{, }&Σ=t\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract Σ from both sides.

$$xs=t-xz-Σ$$

The equation is in standard form.

$$xs=-xz+t-Σ$$

Divide both sides by x.

$$\frac{xs}{x}=\frac{-xz+t-Σ}{x}$$

Dividing by x undoes the multiplication by x.

$$s=\frac{-xz+t-Σ}{x}$$

Solve for t

$$t=sx+xz+Σ$$