Solve y=1/9-x

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

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.

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

Divide both sides by -y.

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

Dividing by -y undoes the multiplication by -y.

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

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

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

$$x\neq 9$$