To find the ordered pairs that satisfy the equation xy = 2, we can rearrange the equation to express y in terms of x:
y = 2/x
Now we can choose various values for x and calculate the corresponding values of y. Here are some examples:
- If x = 1, then y = 2/1 = 2. The ordered pair is (1, 2).
- If x = 2, then y = 2/2 = 1. The ordered pair is (2, 1).
- If x = -1, then y = 2/-1 = -2. The ordered pair is (-1, -2).
- If x = -2, then y = 2/-2 = -1. The ordered pair is (-2, -1).
We can summarize some of the valid ordered pairs that satisfy the equation xy = 2 as:
- (1, 2)
- (2, 1)
- (-1, -2)
- (-2, -1)
Therefore, any list of ordered pairs containing these combinations represents solutions to the equation.