Determine if (7,2) is a Solution 2x-y>10 , (7,2)

$2 x - y > 10$ , $(7, 2)$

Step 1

Insert the values of $x = 7$ and $y = 2$ into the equation to find if the ordered pair is a solution.

$2 (7) - (2) > 10$

Step 2

Simplify $2 (7) - (2)$ .

Simplify each term.

Multiply $2$ by $7$ .

$14 - (2) > 10$

Multiply $- 1$ by $2$ .

$14 - 2 > 10$

Subtract $2$ from $14$ .

$12 > 10$

Step 3

Since $12 > 10$ , the inequality will always be true.

Always true

Step 4

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.