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in Sets, Relations and Functions by (50.9k points)

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.

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Given as

The ordered pairs (x, – 1) and (5, y) belong to the set {(a, b): b = 2a – 3}

By solving for first order pair

(x, – 1) = {(a, b): b = 2a – 3}

x = a and -1 = b

On taking b = 2a – 3

If b = – 1 then 2a = – 1 + 3

= 2

a = 2/2

= 1

Therefore, a = 1

Here x = a, x = 1

Similarly, on solving for second order pair

(5, y) = {(a, b): b = 2a – 3}

5 = a and y = b

On taking b = 2a – 3

If a = 5 then b = 2×5 – 3

= 10 – 3

= 7

Therefore, b = 7

Here, y = b, y = 7

Thus, values of x and y are, x = 1 and y = 7

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