Finite Math Examples

$n = 6$ , $x = 2$ , $p = \frac{2}{3}$ , $q = 1 - p$

Step 1

Replace all occurrences of $p$ with $\frac{2}{3}$ in each equation.

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Step 1.1

Replace all occurrences of $p$ in $q = 1 - p$ with $\frac{2}{3}$ .

$q = 1 - (\frac{2}{3})$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify $1 - (\frac{2}{3})$ .

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Step 1.2.1.1

Write $1$ as a fraction with a common denominator.

$q = \frac{3}{3} - \frac{2}{3}$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

Step 1.2.1.2

Combine the numerators over the common denominator.

$q = \frac{3 - 2}{3}$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

Step 1.2.1.3

Subtract $2$ from $3$ .

$q = \frac{1}{3}$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

$q = \frac{1}{3}$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

$q = \frac{1}{3}$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

$q = \frac{1}{3}$

$p = \frac{2}{3}$

$n = 6$

$x = 2$

Step 2

List all of the solutions.

$q = \frac{1}{3}, p = \frac{2}{3}, n = 6, x = 2$