Solve y=-3x+nd

$$y = - 3 x + n d$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{3x+y}{n}\text{, }&n\neq 0\\d\in \mathrm{C}\text{, }&y=-3x\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$-3x+nd=y$$

Add 3x to both sides.

$$nd=y+3x$$

The equation is in standard form.

$$nd=3x+y$$

Divide both sides by n.

$$\frac{nd}{n}=\frac{3x+y}{n}$$

Dividing by n undoes the multiplication by n.

$$d=\frac{3x+y}{n}$$

Solve for n (complex solution)

$$\left\{\begin{matrix}n=\frac{3x+y}{d}\text{, }&d\neq 0\\n\in \mathrm{C}\text{, }&y=-3x\text{ and }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$-3x+nd=y$$

Add 3x to both sides.

$$nd=y+3x$$

The equation is in standard form.

$$dn=3x+y$$

Divide both sides by d.

$$\frac{dn}{d}=\frac{3x+y}{d}$$

Dividing by d undoes the multiplication by d.

$$n=\frac{3x+y}{d}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{3x+y}{n}\text{, }&n\neq 0\\d\in \mathrm{R}\text{, }&y=-3x\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$-3x+nd=y$$

Add 3x to both sides.

$$nd=y+3x$$

The equation is in standard form.

$$nd=3x+y$$

Divide both sides by n.

$$\frac{nd}{n}=\frac{3x+y}{n}$$

Dividing by n undoes the multiplication by n.

$$d=\frac{3x+y}{n}$$

Solve for n

$$\left\{\begin{matrix}n=\frac{3x+y}{d}\text{, }&d\neq 0\\n\in \mathrm{R}\text{, }&y=-3x\text{ and }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$-3x+nd=y$$

Add 3x to both sides.

$$nd=y+3x$$

The equation is in standard form.

$$dn=3x+y$$

Divide both sides by d.

$$\frac{dn}{d}=\frac{3x+y}{d}$$

Dividing by d undoes the multiplication by d.

$$n=\frac{3x+y}{d}$$