Let A × B = {(a, b): b = 3a – 2}. if (x, –5) and (2, y) belong to A × B, find the values of x and y.

Answer : Given: A × B = {(a, b): b = 3a – 2} and {(x, -5), (2, y)} Є A × B

For (x, -5) Є A × B

b = 3a – 2

⇒ -5 = 3(x) – 2

⇒ -5 + 2 = 3x

⇒ -3 = 3x

⇒ x = -1

For (2, y) Є A × B

b = 3a – 2

⇒ y = 3(2) – 2

⇒ y = 6 – 2

⇒ y = 4

Hence, the value of x = -1 and y = 4