Solve xy+x=1

$$x y + x = 1$$

Solve for x

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

$$y\neq -1$$

Steps for Solving Linear Equation

Combine all terms containing x.

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

Divide both sides by y+1.

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

Dividing by y+1 undoes the multiplication by y+1.

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$xy=1-x$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 1-x by x.

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