Question

If (x+2, y-3) = (5,7) then find values of x and y.

(a) x=3 and y=10

(b) x=3 and y=4

(c) x=7 and y=4

(d) x=7 and y=10

I have been asked this question by my college professor while I was bunking the class.

Enquiry is from Cartesian Product of Sets in chapter Relations and Functions of Mathematics – Class 11

Answer 1

Correct answer is (a) x=3 and y=10

Easy explanation: Two ordered pairs are said to be equal if and only if their corresponding elements are equal. x+2=5 => x=3

y-3=7 => y=10

Hence, x=3 and y=10.