How to solve 3x + 1/y = 0

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 3x + 1/y = 0 | Equatix

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Question

$$3x+\frac{1}{y}=0$$

Solve for x

$x=-\frac{1}{3y}$
$y\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $y$.

$$3xy+1=0$$

Subtract $1$ from both sides. Anything subtracted from zero gives its negation.

$$3xy=-1$$

The equation is in standard form.

$$3yx=-1$$

Divide both sides by $3y$.

$$\frac{3yx}{3y}=-\frac{1}{3y}$$

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

$$x=-\frac{1}{3y}$$

Show Solution

Solve for y

$y=-\frac{1}{3x}$
$x\neq 0$

Steps for Solving Linear Equation

Variable $y$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $y$.

$$3xy+1=0$$

Subtract $1$ from both sides. Anything subtracted from zero gives its negation.

$$3xy=-1$$

Divide both sides by $3x$.

$$\frac{3xy}{3x}=-\frac{1}{3x}$$

Dividing by $3x$ undoes the multiplication by $3x$.

$$y=-\frac{1}{3x}$$

Variable $y$ cannot be equal to $0$.

$$y=-\frac{1}{3x}\text{, }y\neq 0$$

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