Solve y=6/9x-6

$$y = \frac { 6 } { 9 x - 6 }$$

Solve for x

$$x=\frac{2}{3}+\frac{2}{3y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{2}{3} since division by zero is not defined. Multiply both sides of the equation by 3\left(3x-2\right).

$$y\times 3\left(3x-2\right)=6$$

Use the distributive property to multiply y\times 3 by 3x-2.

$$9xy-2y\times 3=6$$

Multiply -2 and 3 to get -6.

$$9xy-6y=6$$

Add 6y to both sides.

$$9xy=6+6y$$

The equation is in standard form.

$$9yx=6y+6$$

Divide both sides by 9y.

$$\frac{9yx}{9y}=\frac{6y+6}{9y}$$

Dividing by 9y undoes the multiplication by 9y.

$$x=\frac{6y+6}{9y}$$

Divide 6+6y by 9y.

$$x=\frac{2}{3}+\frac{2}{3y}$$

Variable x cannot be equal to \frac{2}{3}.

$$x=\frac{2}{3}+\frac{2}{3y}\text{, }x\neq \frac{2}{3}$$

Solve for y

$$y=\frac{2}{3x-2}$$

$$x\neq \frac{2}{3}$$