How to solve x+(6)/(y)-7=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 x+(6)/(y)-7=0 | Equatix

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Question

$$x+ \frac{ 6 }{ y } -7=0$$

Solve for x

$x=7-\frac{6}{y}$
$y\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $y$.

$$yx+6+y\left(-7\right)=0$$

Subtract $6$ from both sides. Anything subtracted from zero gives its negation.

$$yx+y\left(-7\right)=-6$$

Subtract $y\left(-7\right)$ from both sides.

$$yx=-6-y\left(-7\right)$$

Multiply $-1$ and $-7$ to get $7$.

$$yx=-6+7y$$

The equation is in standard form.

$$yx=7y-6$$

Divide both sides by $y$.

$$\frac{yx}{y}=\frac{7y-6}{y}$$

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

$$x=\frac{7y-6}{y}$$

Divide $-6+7y$ by $y$.

$$x=7-\frac{6}{y}$$

Show Solution

Solve for y

$y=-\frac{6}{x-7}$
$x\neq 7$

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 $y$.

$$yx+6+y\left(-7\right)=0$$

Subtract $6$ from both sides. Anything subtracted from zero gives its negation.

$$yx+y\left(-7\right)=-6$$

Combine all terms containing $y$.

$$\left(x-7\right)y=-6$$

Divide both sides by $x-7$.

$$\frac{\left(x-7\right)y}{x-7}=-\frac{6}{x-7}$$

Dividing by $x-7$ undoes the multiplication by $x-7$.

$$y=-\frac{6}{x-7}$$

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

$$y=-\frac{6}{x-7}\text{, }y\neq 0$$

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