How to solve D x/a + x/b =

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 D x/a + x/b = | Equatix

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Question

$$\frac { x } { a } + \frac { x } { b } = 1$$

Solve for a

$a=-\frac{bx}{x-b}$
$b\neq 0\text{ and }x\neq 0\text{ and }x\neq b$

Steps for Solving Linear Equation

Variable $a$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $ab$, the least common multiple of $a,b$.

$$bx+ax=ab$$

Subtract $ab$ from both sides.

$$bx+ax-ab=0$$

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

$$ax-ab=-bx$$

Combine all terms containing $a$.

$$\left(x-b\right)a=-bx$$

Divide both sides by $x-b$.

$$\frac{\left(x-b\right)a}{x-b}=-\frac{bx}{x-b}$$

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

$$a=-\frac{bx}{x-b}$$

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

$$a=-\frac{bx}{x-b}\text{, }a\neq 0$$

Show Solution

Solve for b

$b=-\frac{ax}{x-a}$
$a\neq 0\text{ and }x\neq 0\text{ and }x\neq a$

Steps for Solving Linear Equation

Variable $b$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $ab$, the least common multiple of $a,b$.

$$bx+ax=ab$$

Subtract $ab$ from both sides.

$$bx+ax-ab=0$$

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

$$bx-ab=-ax$$

Combine all terms containing $b$.

$$\left(x-a\right)b=-ax$$

Divide both sides by $x-a$.

$$\frac{\left(x-a\right)b}{x-a}=-\frac{ax}{x-a}$$

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

$$b=-\frac{ax}{x-a}$$

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

$$b=-\frac{ax}{x-a}\text{, }b\neq 0$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for a

Steps for Solving Linear Equation

Solve for b

Steps for Solving Linear Equation