Solve x=1-1/1-y

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

Solve for y

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

$$x\neq 1$$

Steps for Solving Linear Equation

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

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

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

$$-xy+x=-y+1-1$$

Subtract 1 from 1 to get 0.

$$-xy+x=-y$$

Add y to both sides.

$$-xy+x+y=0$$

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

$$-xy+y=-x$$

Combine all terms containing y.

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

The equation is in standard form.

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

Divide both sides by -x+1.

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

Dividing by -x+1 undoes the multiplication by -x+1.

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

Variable y cannot be equal to 1.

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

Solve for x

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

$$y\neq 1$$