Solve 7xy-8y=2

$$7 x y - 8 y = 2$$

Solve for x

$$x=\frac{8}{7}+\frac{2}{7y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 8y to both sides.

$$7xy=2+8y$$

The equation is in standard form.

$$7yx=8y+2$$

Divide both sides by 7y.

$$\frac{7yx}{7y}=\frac{8y+2}{7y}$$

Dividing by 7y undoes the multiplication by 7y.

$$x=\frac{8y+2}{7y}$$

Divide 2+8y by 7y.

$$x=\frac{8}{7}+\frac{2}{7y}$$

Solve for y

$$y=\frac{2}{7x-8}$$

$$x\neq \frac{8}{7}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(7x-8\right)y=2$$

Divide both sides by 7x-8.

$$\frac{\left(7x-8\right)y}{7x-8}=\frac{2}{7x-8}$$

Dividing by 7x-8 undoes the multiplication by 7x-8.

$$y=\frac{2}{7x-8}$$