Solution:

Given: X/p y/q=2 ,x y=p q

To find: Values satisfied by the pair

Explanation:

Let's assume a value for any one of the variables, say p=2

Using this value, we can rewrite the given equation as:

X/y = 2q/p

Multiplying both sides by y, we get:

X = 2qy/p

Substituting the value of p=2, we get:

X = qy

Now, using the second given equation, xy=pq, we can substitute the value of p=2 to get:

xy=2qy

Simplifying this equation, we get:

x=2q

Therefore, the values that satisfy the given pair of equations are:

p=2, q=1, x=2, y=1

Explanation of values:

- p=2: We assumed this value to simplify the equations. We could have assumed any other value for p as well.
- q=1: Substituted p=2 in the equation xy=pq to get this value for q.
- x=2: Substituted p=2 in the equation X = qy to get this value for x.
- y=1: Substituted q=1 in the equation xy=pq to get this value for y.

Thus, the given pair of equations is satisfied by the values p=2, q=1, x=2, y=1.