Solve 9xy-20y-10x-10=0

$$9xy-20y-10x-10=0$$

Solve for x

$$x=\frac{10\left(2y+1\right)}{9y-10}$$

$$y\neq \frac{10}{9}$$

Steps for Solving Linear Equation

Add 20y to both sides. Anything plus zero gives itself.

$$9xy-10x-10=20y$$

Add 10 to both sides.

$$9xy-10x=20y+10$$

Combine all terms containing x.

$$\left(9y-10\right)x=20y+10$$

Divide both sides by 9y-10.

$$\frac{\left(9y-10\right)x}{9y-10}=\frac{20y+10}{9y-10}$$

Dividing by 9y-10 undoes the multiplication by 9y-10.

$$x=\frac{20y+10}{9y-10}$$

Divide 20y+10 by 9y-10.

$$x=\frac{10\left(2y+1\right)}{9y-10}$$

Solve for y

$$y=\frac{10\left(x+1\right)}{9x-20}$$

$$x\neq \frac{20}{9}$$

Steps for Solving Linear Equation

Add 10x to both sides. Anything plus zero gives itself.

$$9xy-20y-10=10x$$

Add 10 to both sides.

$$9xy-20y=10x+10$$

Combine all terms containing y.

$$\left(9x-20\right)y=10x+10$$

Divide both sides by 9x-20.

$$\frac{\left(9x-20\right)y}{9x-20}=\frac{10x+10}{9x-20}$$

Dividing by 9x-20 undoes the multiplication by 9x-20.

$$y=\frac{10x+10}{9x-20}$$

Divide 10+10x by 9x-20.

$$y=\frac{10\left(x+1\right)}{9x-20}$$