Solve 8xy+y=67.5

$$8 x y + y = 67.5$$

Solve for x

$$x=-0.125+\frac{135}{16y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract y from both sides.

$$8xy=67.5-y$$

The equation is in standard form.

$$8yx=67.5-y$$

Divide both sides by 8y.

$$\frac{8yx}{8y}=\frac{67.5-y}{8y}$$

Dividing by 8y undoes the multiplication by 8y.

$$x=\frac{67.5-y}{8y}$$

Divide 67.5-y by 8y.

$$x=-\frac{1}{8}+\frac{135}{16y}$$

Solve for y

$$y=\frac{135}{2\left(8x+1\right)}$$

$$x\neq -\frac{1}{8}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(8x+1\right)y=67.5$$

The equation is in standard form.

$$\left(8x+1\right)y=\frac{135}{2}$$

Divide both sides by 8x+1.

$$\frac{\left(8x+1\right)y}{8x+1}=\frac{\frac{135}{2}}{8x+1}$$

Dividing by 8x+1 undoes the multiplication by 8x+1.

$$y=\frac{\frac{135}{2}}{8x+1}$$

Divide \frac{135}{2} by 8x+1.

$$y=\frac{135}{2\left(8x+1\right)}$$