Solve xy+2x-1=0

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

Solve for x

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

$$y\neq -2$$

Steps for Solving Linear Equation

Add 1 to both sides. Anything plus zero gives itself.

$$xy+2x=1$$

Combine all terms containing x.

$$\left(y+2\right)x=1$$

Divide both sides by y+2.

$$\frac{\left(y+2\right)x}{y+2}=\frac{1}{y+2}$$

Dividing by y+2 undoes the multiplication by y+2.

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$xy-1=-2x$$

Add 1 to both sides.

$$xy=-2x+1$$

The equation is in standard form.

$$xy=1-2x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{1-2x}{x}$$

Dividing by x undoes the multiplication by x.

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

Divide -2x+1 by x.

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