If (x/3 + 1, y - 2/3) = (5/3, 1/3), find the values of x and y

Solution:

It is given that (x/3 + 1, y - 2/3) = (5/3, 1/3)

Since the two ordered pairs are equal, the corresponding elements will also be equal

Therefore,

x/3 + 1 = 5/3 and y - 2/3 = 1/3

x/3 + 1 = 5/3 and y - 2/3 = 1/3

⇒ x/3 = 5/3 - 1 and ⇒ y = 1/3 + 2/3

⇒ x/3 = 2/3 and ⇒ y = 1

⇒ x = 2

Hence,

x = 2, y = 1

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.1 Question 1

If (x/3 + 1, y - 2/3) = (5/3, 1/3), find the values of x and y

Summary:

A relation is given. We have found the asked values of x and y and it comes out to be x = 2 and y = 1.