Q1 of 76 Page 3

If (x + 1, 1) = (3y, y - 1), find the values of x and y.

given: (x + 1, 1) = (3y, y - 1)

To find: values of a and b

By the definition of equality of ordered pairs, we have

x + 1 = 3y and ⇒ 1 = y - 1

⇒ x = 3y - 1 and ⇒ y = 2

⇒ x = 5

If , find the values of a and b.

If the ordered pairs (x, - 1) and (5, y) belong to the set {(a, b): b = 2a - 3}, find the values of x and y.

If a ∈ { - 1, 2, 3, 4, 5} and b ∈ {0, 3, 6}, write the set of all ordered pairs (a, b) such that a + b = 5.

If a ∈ {2, 4, 6, 9} and b ∈{4, 6, 18, 27}, then form the set of all ordered pairs (a, b) such that a divides b and a<b.