Solve -3y=bx-4

$$- 3 y = b x - 4$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=-\frac{3y-4}{x}\text{, }&x\neq 0\\b\in \mathrm{C}\text{, }&y=\frac{4}{3}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$bx-4=-3y$$

Add 4 to both sides.

$$bx=-3y+4$$

The equation is in standard form.

$$xb=4-3y$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{4-3y}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{4-3y}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{3y-4}{b}\text{, }&b\neq 0\\x\in \mathrm{C}\text{, }&y=\frac{4}{3}\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$bx-4=-3y$$

Add 4 to both sides.

$$bx=-3y+4$$

The equation is in standard form.

$$bx=4-3y$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{4-3y}{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{4-3y}{b}$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{3y-4}{x}\text{, }&x\neq 0\\b\in \mathrm{R}\text{, }&y=\frac{4}{3}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$bx-4=-3y$$

Add 4 to both sides.

$$bx=-3y+4$$

The equation is in standard form.

$$xb=4-3y$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{4-3y}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{4-3y}{x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{3y-4}{b}\text{, }&b\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{4}{3}\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$bx-4=-3y$$

Add 4 to both sides.

$$bx=-3y+4$$

The equation is in standard form.

$$bx=4-3y$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{4-3y}{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{4-3y}{b}$$