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.
given the ordered pairs (x, - 1) and (5, y) belong to the set {(a, b): b = 2a - 3}
To find: values of x and y
solving for first order pair
(x, - 1) = {(a, b): b = 2a - 3}
x = a and b = - 1
If b = - 1 then 2a = - 1 + 3 = 2
So, a = 1
x = 1
Similarly, solving for second order pair
(5, y) = {(a, b): b = 2a - 3}
a = 5 and y = b
If a = 5 then b = 2×5 - 3
So, b = 7
y = 7