Solve {l}{y=x/1-x}{(0,0)}

$$\left. \begin{array} { l } { y = \frac { x } { 1 - x } } \\ { ( 0,0 ) } \end{array} \right.$$

Solve for x

$$x=\frac{y}{y+1}$$

$$y\neq -1$$

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.

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

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

$$-yx+y=x$$

Subtract x from both sides.

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

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

$$-yx-x=-y$$

Combine all terms containing x.

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

Divide both sides by -y-1.

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

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

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

Divide -y by -y-1.

$$x=\frac{y}{y+1}$$

Variable x cannot be equal to 1.

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