How to solve (x + 3)/y = 5/6

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 (x + 3)/y = 5/6 | Equatix

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Question

$$\frac{x+3}{y}=\frac{5}{6}$$

Solve for x

$x=\frac{5y}{6}-3$
$y\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6y$, the least common multiple of $y,6$.

$$6\left(x+3\right)=5y$$

Use the distributive property to multiply $6$ by $x+3$.

$$6x+18=5y$$

Subtract $18$ from both sides.

$$6x=5y-18$$

Divide both sides by $6$.

$$\frac{6x}{6}=\frac{5y-18}{6}$$

Dividing by $6$ undoes the multiplication by $6$.

$$x=\frac{5y-18}{6}$$

Divide $5y-18$ by $6$.

$$x=\frac{5y}{6}-3$$

Show Solution

Solve for y

$y=\frac{6\left(x+3\right)}{5}$
$x\neq -3$

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 $6y$, the least common multiple of $y,6$.

$$6\left(x+3\right)=5y$$

Use the distributive property to multiply $6$ by $x+3$.

$$6x+18=5y$$

Swap sides so that all variable terms are on the left hand side.

$$5y=6x+18$$

Divide both sides by $5$.

$$\frac{5y}{5}=\frac{6x+18}{5}$$

Dividing by $5$ undoes the multiplication by $5$.

$$y=\frac{6x+18}{5}$$

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

$$y=\frac{6x+18}{5}\text{, }y\neq 0$$

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