Solve 8xy-5y=3

$$8 x y - 5 y = 3$$

Solve for x

$$x=\frac{5}{8}+\frac{3}{8y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 5y to both sides.

$$8xy=3+5y$$

The equation is in standard form.

$$8yx=5y+3$$

Divide both sides by 8y.

$$\frac{8yx}{8y}=\frac{5y+3}{8y}$$

Dividing by 8y undoes the multiplication by 8y.

$$x=\frac{5y+3}{8y}$$

Divide 3+5y by 8y.

$$x=\frac{5}{8}+\frac{3}{8y}$$

Solve for y

$$y=\frac{3}{8x-5}$$

$$x\neq \frac{5}{8}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(8x-5\right)y=3$$

Divide both sides by 8x-5.

$$\frac{\left(8x-5\right)y}{8x-5}=\frac{3}{8x-5}$$

Dividing by 8x-5 undoes the multiplication by 8x-5.

$$y=\frac{3}{8x-5}$$