How to solve 3x-2y=2xy

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

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

Solve for x

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

Steps for Solving Linear Equation

Subtract $2xy$ from both sides.

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

Add $2y$ to both sides. Anything plus zero gives itself.

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

Combine all terms containing $x$.

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

Divide both sides by $3-2y$.

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

Dividing by $3-2y$ undoes the multiplication by $3-2y$.

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

Show Solution

Solve for y

$y=\frac{3x}{2\left(x+1\right)}$
$x\neq -1$

Steps for Solving Linear Equation

Subtract $2xy$ from both sides.

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

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

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

Combine all terms containing $y$.

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

The equation is in standard form.

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

Divide both sides by $-2-2x$.

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

Dividing by $-2-2x$ undoes the multiplication by $-2-2x$.

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

Divide $-3x$ by $-2-2x$.

$$y=\frac{3x}{2\left(x+1\right)}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps for Solving Linear Equation

Solve for y

Steps for Solving Linear Equation