Solve xy+x=4

$$x y + x = 4$$

Solve for x

$$x=\frac{4}{y+1}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(y+1\right)x=4$$

Divide both sides by y+1.

$$\frac{\left(y+1\right)x}{y+1}=\frac{4}{y+1}$$

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

$$x=\frac{4}{y+1}$$

Solve for y

$$y=-1+\frac{4}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$xy=4-x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{4-x}{x}$$

Dividing by x undoes the multiplication by x.

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

Divide 4-x by x.

$$y=-1+\frac{4}{x}$$