Precalculus Examples

$2 (x + y) > 3 y$ , $(9, 2)$

Step 1

Insert the values of $x = 9$ and $y = 2$ into the equation to find if the ordered pair is a solution.

$2 (9 + 2) > 3 (2)$

Step 2

Simplify $2 (9 + 2)$ .

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Step 2.1

Add $9$ and $2$ .

$2 \cdot 11 > 3 (2)$

Step 2.2

Multiply $2$ by $11$ .

$22 > 3 (2)$

Step 3

Multiply $3$ by $2$ .

$22 > 6$

Step 4

Since $22 > 6$ , the inequality will always be true.

Always true

Step 5

Since the equation is always true when the values are used, the ordered pair is a solution.

The ordered pair is a solution to the equation.

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