Finite Math Examples

$p = 1.5 q$ , $17 = 1.5 q$

Step 1

Solve for $q$ in $17 = 1.5 q$ .

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Step 1.1

Rewrite the equation as $1.5 q = 17$ .

$1.5 q = 17$

$p = 1.5 q$

Step 1.2

Divide each term in $1.5 q = 17$ by $1.5$ and simplify.

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Step 1.2.1

Divide each term in $1.5 q = 17$ by $1.5$ .

$\frac{1.5 q}{1.5} = \frac{17}{1.5}$

$p = 1.5 q$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $1.5$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{1.5 q}{1.5} = \frac{17}{1.5}$

$p = 1.5 q$

Step 1.2.2.1.2

Divide $q$ by $1$ .

$q = \frac{17}{1.5}$

$p = 1.5 q$

$q = \frac{17}{1.5}$

$p = 1.5 q$

$q = \frac{17}{1.5}$

$p = 1.5 q$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $17$ by $1.5$ .

$q = 11.\overline{3}$

$p = 1.5 q$

$q = 11.\overline{3}$

$p = 1.5 q$

$q = 11.\overline{3}$

$p = 1.5 q$

$q = 11.\overline{3}$

$p = 1.5 q$

Step 2

Replace all occurrences of $q$ with $11.\overline{3}$ in each equation.

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Step 2.1

Replace all occurrences of $q$ in $p = 1.5 q$ with $11.\overline{3}$ .

$p = 1.5 (11.\overline{3})$

$q = 11.\overline{3}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $1.5$ by $11.\overline{3}$ .

$p = 17$

$q = 11.\overline{3}$

$p = 17$

$q = 11.\overline{3}$

$p = 17$

$q = 11.\overline{3}$

Step 3

List all of the solutions.

$p = 17, q = 11.\overline{3}$