Finite Math Examples

$7 x b - 6 x a = c a b$

Step 1

Factor $x$ out of $7 x b - 6 x a$ .

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Step 1.1

Factor $x$ out of $7 x b$ .

$x (7 b) - 6 x a = c a b$

Step 1.2

Factor $x$ out of $- 6 x a$ .

$x (7 b) + x (- 6 a) = c a b$

Step 1.3

Factor $x$ out of $x (7 b) + x (- 6 a)$ .

$x (7 b - 6 a) = c a b$

Step 2

Divide each term in $x (7 b - 6 a) = c a b$ by $7 b - 6 a$ and simplify.

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Step 2.1

Divide each term in $x (7 b - 6 a) = c a b$ by $7 b - 6 a$ .

$\frac{x (7 b - 6 a)}{7 b - 6 a} = \frac{c a b}{7 b - 6 a}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $7 b - 6 a$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{x (7 b - 6 a)}{7 b - 6 a} = \frac{c a b}{7 b - 6 a}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{c a b}{7 b - 6 a}$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$