To find an ordered pair (x, y) that satisfies the equation 2xy = 9, we need to isolate one of the variables. Let’s solve for y in terms of x:
- Starting with the equation:
- 2xy = 9
- Now, divide both sides by 2x (assuming x is not zero):
- y = 9/(2x)
This means that for every value of x that is not zero, we can find a corresponding value of y that satisfies the equation.
Let’s explore a few values:
- If we take x = 1:
y = 9/(2*1) = 4.5
Thus, one ordered pair is (1, 4.5). - If we take x = 2:
y = 9/(2*2) = 2.25
Thus, another ordered pair is (2, 2.25). - If we take x = 3:
y = 9/(2*3) = 1.5
Thus, another ordered pair is (3, 1.5).
Hence, there are infinitely many ordered pairs that are solutions of the equation 2xy = 9, such as (1, 4.5), (2, 2.25), and (3, 1.5).