Solve y=-1/(x+9)

$$y = \frac { - 1 } { ( x + 9 ) }$$

Solve for x

$$x=-9-\frac{1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by x+9.

$$y\left(x+9\right)=-1$$

Use the distributive property to multiply y by x+9.

$$yx+9y=-1$$

Subtract 9y from both sides.

$$yx=-1-9y$$

The equation is in standard form.

$$yx=-9y-1$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{-9y-1}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{-9y-1}{y}$$

Divide -1-9y by y.

$$x=-9-\frac{1}{y}$$

Variable x cannot be equal to -9.

$$x=-9-\frac{1}{y}\text{, }x\neq -9$$

Solve for y

$$y=-\frac{1}{x+9}$$

$$x\neq -9$$