Solve y=2x/4-x

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

Solve for x

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

$$y\neq -2$$

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.

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

Divide -4y 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

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

$$x\neq 4$$