Solve 2x+3y=5xy

$$2x+3y=5xy$$

Solve for x

$$x=-\frac{3y}{2-5y}$$

$$y\neq \frac{2}{5}$$

Steps for Solving Linear Equation

Subtract 5xy from both sides.

$$2x+3y-5xy=0$$

Subtract 3y from both sides. Anything subtracted from zero gives its negation.

$$2x-5xy=-3y$$

Combine all terms containing x.

$$\left(2-5y\right)x=-3y$$

Divide both sides by 2-5y.

$$\frac{\left(2-5y\right)x}{2-5y}=-\frac{3y}{2-5y}$$

Dividing by 2-5y undoes the multiplication by 2-5y.

$$x=-\frac{3y}{2-5y}$$

Solve for y

$$y=-\frac{2x}{3-5x}$$

$$x\neq \frac{3}{5}$$

Steps for Solving Linear Equation

Subtract 5xy from both sides.

$$2x+3y-5xy=0$$

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

$$3y-5xy=-2x$$

Combine all terms containing y.

$$\left(3-5x\right)y=-2x$$

Divide both sides by 3-5x.

$$\frac{\left(3-5x\right)y}{3-5x}=-\frac{2x}{3-5x}$$

Dividing by 3-5x undoes the multiplication by 3-5x.

$$y=-\frac{2x}{3-5x}$$