Solve 2y+3=gx

$$2 y + 3 = g x$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{2y+3}{x}\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&y=-\frac{3}{2}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$gx=2y+3$$

The equation is in standard form.

$$xg=2y+3$$

Divide both sides by x.

$$\frac{xg}{x}=\frac{2y+3}{x}$$

Dividing by x undoes the multiplication by x.

$$g=\frac{2y+3}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{2y+3}{g}\text{, }&g\neq 0\\x\in \mathrm{C}\text{, }&y=-\frac{3}{2}\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$gx=2y+3$$

Divide both sides by g.

$$\frac{gx}{g}=\frac{2y+3}{g}$$

Dividing by g undoes the multiplication by g.

$$x=\frac{2y+3}{g}$$

Solve for g

$$\left\{\begin{matrix}g=\frac{2y+3}{x}\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&y=-\frac{3}{2}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$gx=2y+3$$

The equation is in standard form.

$$xg=2y+3$$

Divide both sides by x.

$$\frac{xg}{x}=\frac{2y+3}{x}$$

Dividing by x undoes the multiplication by x.

$$g=\frac{2y+3}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{2y+3}{g}\text{, }&g\neq 0\\x\in \mathrm{R}\text{, }&y=-\frac{3}{2}\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$gx=2y+3$$

Divide both sides by g.

$$\frac{gx}{g}=\frac{2y+3}{g}$$

Dividing by g undoes the multiplication by g.

$$x=\frac{2y+3}{g}$$