How to solve 7x+2y=14xy

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.

Solve 7x+2y=14xy | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$7x+2y=14xy$$

Solve for x

$x=-\frac{2y}{7\left(1-2y\right)}$
$y\neq \frac{1}{2}$

Steps for Solving Linear Equation

Subtract $14xy$ from both sides.

$$7x+2y-14xy=0$$

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

$$7x-14xy=-2y$$

Combine all terms containing $x$.

$$\left(7-14y\right)x=-2y$$

Divide both sides by $7-14y$.

$$\frac{\left(7-14y\right)x}{7-14y}=-\frac{2y}{7-14y}$$

Dividing by $7-14y$ undoes the multiplication by $7-14y$.

$$x=-\frac{2y}{7-14y}$$

Divide $-2y$ by $7-14y$.

$$x=-\frac{2y}{7\left(1-2y\right)}$$

Show Solution

Solve for y

$y=-\frac{7x}{2\left(1-7x\right)}$
$x\neq \frac{1}{7}$

Steps for Solving Linear Equation

Subtract $14xy$ from both sides.

$$7x+2y-14xy=0$$

Subtract $7x$ from both sides. Anything subtracted from zero gives its negation.

$$2y-14xy=-7x$$

Combine all terms containing $y$.

$$\left(2-14x\right)y=-7x$$

Divide both sides by $2-14x$.

$$\frac{\left(2-14x\right)y}{2-14x}=-\frac{7x}{2-14x}$$

Dividing by $2-14x$ undoes the multiplication by $2-14x$.

$$y=-\frac{7x}{2-14x}$$

Divide $-7x$ by $2-14x$.

$$y=-\frac{7x}{2\left(1-7x\right)}$$

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