If the ordered pairs
Question:

If the ordered pairs (x, −1) and (5, y) belong to the set {(ab) : b = 2a − 3}, find the values of x and y.

Solution:

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

Thus, we have:

x = a and −1 = b such that b = 2a − 3.

∴ −1 = 2x − 3

or, 2x = 3 − 1 = 2

or, x = 1

Also,

5 = and y = b such that b = 2a − 3.

∴ y = 2(5) − 3

or, = 10 − 3 = 7

Thus, we get:

= 1 and y = 7

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