Solve xy-5x+2y=0

$$x y - 5 x + 2 y = 0$$

Solve for x

$$x=-\frac{2y}{y-5}$$

$$y\neq 5$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$xy-5x=-2y$$

Combine all terms containing x.

$$\left(y-5\right)x=-2y$$

Divide both sides by y-5.

$$\frac{\left(y-5\right)x}{y-5}=-\frac{2y}{y-5}$$

Dividing by y-5 undoes the multiplication by y-5.

$$x=-\frac{2y}{y-5}$$

Solve for y

$$y=\frac{5x}{x+2}$$

$$x\neq -2$$

Steps for Solving Linear Equation

Add 5x to both sides. Anything plus zero gives itself.

$$xy+2y=5x$$

Combine all terms containing y.

$$\left(x+2\right)y=5x$$

Divide both sides by x+2.

$$\frac{\left(x+2\right)y}{x+2}=\frac{5x}{x+2}$$

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

$$y=\frac{5x}{x+2}$$