Question -
Answer -
Given:
The ordered pairs (x, – 1) and (5, y) belong to the set {(a, b): b = 2a – 3}
Solving for first order pair
(x, – 1) = {(a, b): b = 2a – 3}
x = a and -1 = b
By taking b = 2a – 3
If b = – 1 then 2a = – 1 + 3
= 2
a = 2/2
= 1
So, a = 1
Since x = a, x = 1
Similarly, solving for second order pair
(5, y) = {(a, b): b = 2a – 3}
5 = a and y = b
By taking b = 2a – 3
If a = 5 then b = 2×5 – 3
= 10 – 3
= 7
So, b = 7
Since y = b, y = 7
∴ Values of x and y are, x = 1 and y = 7