Solve xy+5y=10

$$xy+5y=10$$

Solve for x

$$x=-5+\frac{10}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 5y from both sides.

$$xy=10-5y$$

The equation is in standard form.

$$yx=10-5y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{10-5y}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{10-5y}{y}$$

Divide 10-5y by y.

$$x=-5+\frac{10}{y}$$

Solve for y

$$y=\frac{10}{x+5}$$

$$x\neq -5$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(x+5\right)y=10$$

Divide both sides by x+5.

$$\frac{\left(x+5\right)y}{x+5}=\frac{10}{x+5}$$

Dividing by x+5 undoes the multiplication by x+5.

$$y=\frac{10}{x+5}$$