Solve Xy+2y=4

$$X y + 2 y = 4$$

Solve for X

$$X=-2+\frac{4}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$Xy=4-2y$$

The equation is in standard form.

$$yX=4-2y$$

Divide both sides by y.

$$\frac{yX}{y}=\frac{4-2y}{y}$$

Dividing by y undoes the multiplication by y.

$$X=\frac{4-2y}{y}$$

Divide 4-2y by y.

$$X=-2+\frac{4}{y}$$

Solve for y

$$y=\frac{4}{X+2}$$

$$X\neq -2$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(X+2\right)y=4$$

Divide both sides by X+2.

$$\frac{\left(X+2\right)y}{X+2}=\frac{4}{X+2}$$

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

$$y=\frac{4}{X+2}$$