Example

Show that $(0,5)$ and $(-3,5)$ are solutions of $2y=10$. Can you find two additional solutions?

Solution

The ordered pair $(x,y)=(0,5)$ is a solution because

The ordered pair $(x,y)=(-3,5)$ is a solution because

Any ordered pair whose $y$-coordinate is 5 is a solution. This is true because the equation simply says

or

Therefore, two additional solutions are $(1,5)$ and $(-137,5)$, as well as any other point of the form $(x,5)$.