Solve y=x+2/x+4

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

Solve for x

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

$$y\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by x+4.

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

Use the distributive property to multiply y by x+4.

$$yx+4y=x+2$$

Subtract x from both sides.

$$yx+4y-x=2$$

Subtract 4y from both sides.

$$yx-x=2-4y$$

Combine all terms containing x.

$$\left(y-1\right)x=2-4y$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{2-4y}{y-1}$$

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

$$x=\frac{2-4y}{y-1}$$

Divide 2-4y by y-1.

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

Variable x cannot be equal to -4.

$$x=\frac{2\left(1-2y\right)}{y-1}\text{, }x\neq -4$$

Solve for y

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

$$x\neq -4$$