Answer
The ordered pairs $(0,11)$ and $(10,0)$ are solutions.
Work Step by Step
We replace $x$ with $0$ and $y$ with $11$ and see if a true statement results.
$2x+y \geq 10$
$2(0)+(11) \geq 10$
$0+11 \geq 10$
$11 \geq 10$ True
The ordered pair $(0,11)$ is a solution since $11 \geq 10$ is a true statement.
We replace $x$ with $5$ and $y$ with $0$ and see if a true statement results.
$2x+y \geq 10$
$2(5)+(0) \geq 10$
$10+0 \geq 10$
$10 \geq 10$ True
The ordered pair $(5,0)$ is a solution since $10 \geq 10$ is a true statement.