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Question

(i) If (a3+1,b23)=(53,13), find the values of a and b.

(ii) If (x + 1, 1) = (3, y - 2), find the values of x and y.

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Solution

(i) By the definition of equality of ordered pairs

(a3+1,b23)=(53,13),

a3+1=53 and b23=13

a3=531 and b=13+23

a3=533 and b=1+23

a3=23 and b=33

a=2 and b = 1

(ii) By the definition of equality of ordered pairs

(x + 1, 1) = (3, y - 2)

x+1=3 and 1 = y - 2

x=31 and 1 + 2 = y

x=2 and 3 = y

x=2 and y = 3


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