Solve 2xy+6y=10

$$2 x y + 6 y = 10$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 6y from both sides.

$$2xy=10-6y$$

The equation is in standard form.

$$2yx=10-6y$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{10-6y}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$x=\frac{10-6y}{2y}$$

Divide 10-6y by 2y.

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

Solve for y

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

$$x\neq -3$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(2x+6\right)y=10$$

Divide both sides by 2x+6.

$$\frac{\left(2x+6\right)y}{2x+6}=\frac{10}{2x+6}$$

Dividing by 2x+6 undoes the multiplication by 2x+6.

$$y=\frac{10}{2x+6}$$

Divide 10 by 2x+6.

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