Final Answer:
The value of x in simplest form is 28.
Step-by-step explanation:
In the given ordered pair P=(x, 4/7), the second component (y-coordinate) is explicitly stated as 4/7. The ordered pair notation (x, y) indicates the x-coordinate precedes the y-coordinate. In this case, the y-coordinate is 4/7. Therefore, P=(x, 4/7) means the value of x corresponds to the x-coordinate of the point P.
For the ordered pair to be P=(x, 4/7), the x-coordinate must represent a value such that when combined with 4/7, it forms the point P. As per the notation, the y-coordinate is 4/7. To simplify the expression, if the y-coordinate is 4/7 and it matches the given coordinate, then the x-coordinate must be 28 (as 4/7 * 7 = 4).
Hence, the value of x in the ordered pair P=(x, 4/7) in its simplest form is 28, as it creates the ordered pair (28, 4/7).