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Step-by-step explanation:
(i) By the definition of equaloty of ordered pairs, we have:
(a/3 + 1, b -2/3) =(5/3,1/3)
= (a/3 + 1) = 5/3 and (b - 2/3) =1/3
= a/3 =5/3 -1 and b =1/3 +2/3
= a/3 =2/3 and b = 1
= a=2 and b=1
(ii) (x+1,1) = (3y,y-1)
By the definition of equaloty of ordered pairs, we have
x+1 = 3y and 1 = y-1
x = 3y-1 and y = 2
so,
x=3(2)-1
=6-1
=5
x = 6 and y = 2
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