Solve x=-1/y-2

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by y-2.

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

Use the distributive property to multiply x by y-2.

$$xy-2x=-1$$

Add 2x to both sides.

$$xy=-1+2x$$

The equation is in standard form.

$$xy=2x-1$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{2x-1}{x}$$

Dividing by x undoes the multiplication by x.

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

Divide -1+2x by x.

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

Variable y cannot be equal to 2.

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

Solve for x

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

$$y\neq 2$$