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


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