Solve y=2x+4/1-x

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

Solve for x

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

$$y\neq -2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.

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

Use the distributive property to multiply y by -x+1.

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

Subtract 2x from both sides.

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

Subtract y from both sides.

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

Combine all terms containing x.

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

Divide both sides by -y-2.

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

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

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

Divide 4-y by -y-2.

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

Variable x cannot be equal to 1.

$$x=-\frac{4-y}{y+2}\text{, }x\neq 1$$

Solve for y

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

$$x\neq 1$$