Solve Ax+2y+1=0

$$A x + 2 y + 1 = 0$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=-\frac{2y+1}{x}\text{, }&x\neq 0\\A\in \mathrm{C}\text{, }&y=-\frac{1}{2}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$Ax+1=-2y$$

Subtract 1 from both sides.

$$Ax=-2y-1$$

The equation is in standard form.

$$xA=-2y-1$$

Divide both sides by x.

$$\frac{xA}{x}=\frac{-2y-1}{x}$$

Dividing by x undoes the multiplication by x.

$$A=\frac{-2y-1}{x}$$

Divide -2y-1 by x.

$$A=-\frac{2y+1}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{2y+1}{A}\text{, }&A\neq 0\\x\in \mathrm{C}\text{, }&y=-\frac{1}{2}\text{ and }A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$Ax+1=-2y$$

Subtract 1 from both sides.

$$Ax=-2y-1$$

Divide both sides by A.

$$\frac{Ax}{A}=\frac{-2y-1}{A}$$

Dividing by A undoes the multiplication by A.

$$x=\frac{-2y-1}{A}$$

Divide -2y-1 by A.

$$x=-\frac{2y+1}{A}$$

Solve for A

$$\left\{\begin{matrix}A=-\frac{2y+1}{x}\text{, }&x\neq 0\\A\in \mathrm{R}\text{, }&y=-\frac{1}{2}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$Ax+1=-2y$$

Subtract 1 from both sides.

$$Ax=-2y-1$$

The equation is in standard form.

$$xA=-2y-1$$

Divide both sides by x.

$$\frac{xA}{x}=\frac{-2y-1}{x}$$

Dividing by x undoes the multiplication by x.

$$A=\frac{-2y-1}{x}$$

Divide -2y-1 by x.

$$A=-\frac{2y+1}{x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{2y+1}{A}\text{, }&A\neq 0\\x\in \mathrm{R}\text{, }&y=-\frac{1}{2}\text{ and }A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$Ax+1=-2y$$

Subtract 1 from both sides.

$$Ax=-2y-1$$

Divide both sides by A.

$$\frac{Ax}{A}=\frac{-2y-1}{A}$$

Dividing by A undoes the multiplication by A.

$$x=\frac{-2y-1}{A}$$

Divide -2y-1 by A.

$$x=-\frac{2y+1}{A}$$