Solve y=2x/4+x

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

Solve for x

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

$$y\neq 2$$

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.

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

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

$$yx+4y=2x$$

Subtract 2x from both sides.

$$yx+4y-2x=0$$

Subtract 4y from both sides. Anything subtracted from zero gives its negation.

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

Combine all terms containing x.

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

Divide both sides by y-2.

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

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

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

Variable x cannot be equal to -4.

$$x=-\frac{4y}{y-2}\text{, }x\neq -4$$

Solve for y

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

$$x\neq -4$$