Solve -8xy+9y=0

$$- 8 x y + 9 y = 0$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{9}{8}=1.125\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 9y from both sides. Anything subtracted from zero gives its negation.

$$-8xy=-9y$$

The equation is in standard form.

$$\left(-8y\right)x=-9y$$

Divide both sides by -8y.

$$\frac{\left(-8y\right)x}{-8y}=-\frac{9y}{-8y}$$

Dividing by -8y undoes the multiplication by -8y.

$$x=-\frac{9y}{-8y}$$

Divide -9y by -8y.

$$x=\frac{9}{8}$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=\frac{9}{8}\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(-8x+9\right)y=0$$

The equation is in standard form.

$$\left(9-8x\right)y=0$$

Divide 0 by -8x+9.

$$y=0$$

Solve for x

$$\left\{\begin{matrix}\\x=\frac{9}{8}=1.125\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 9y from both sides. Anything subtracted from zero gives its negation.

$$-8xy=-9y$$

The equation is in standard form.

$$\left(-8y\right)x=-9y$$

Divide both sides by -8y.

$$\frac{\left(-8y\right)x}{-8y}=-\frac{9y}{-8y}$$

Dividing by -8y undoes the multiplication by -8y.

$$x=-\frac{9y}{-8y}$$

Divide -9y by -8y.

$$x=\frac{9}{8}$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{9}{8}\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(-8x+9\right)y=0$$

The equation is in standard form.

$$\left(9-8x\right)y=0$$

Divide 0 by -8x+9.

$$y=0$$