Solve Deltax-y=-4

$$\Delta x - y = - 4$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

Add y to both sides.

$$\Delta x=-4+y$$

The equation is in standard form.

$$\Delta x=y-4$$

Divide both sides by \Delta .

$$\frac{\Delta x}{\Delta }=\frac{y-4}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$x=\frac{y-4}{\Delta }$$

Solve for x

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

Steps for Solving Linear Equation

Add y to both sides.

$$\Delta x=-4+y$$

The equation is in standard form.

$$\Delta x=y-4$$

Divide both sides by \Delta .

$$\frac{\Delta x}{\Delta }=\frac{y-4}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$x=\frac{y-4}{\Delta }$$

Solve for y

$$y=x\Delta +4$$

Steps for Solving Linear Equation

Subtract \Delta x from both sides.

$$-y=-4-\Delta x$$

The equation is in standard form.

$$-y=-x\Delta -4$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{-x\Delta -4}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{-x\Delta -4}{-1}$$

Divide -4-\Delta x by -1.

$$y=x\Delta +4$$