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Question
If `(x/3+1, y-2/3)` = `(5/3,1/3),`find the values of x and y.
Solution
It is given that `(x/3+1, y-2/3)` = `(5/3,1/3)`.
Since the ordered pairs are equal, the corresponding elements will also be equal.
Therefore, `x/3 + 1 = 5/3` and `y - 2/3 = 1/3`.
`x/3+1 = 5/3` `y - 2/3 = 1/3`
`=> x/3 = 5/3 - 1` `y - 2/3 = 2/3`
`=>x/3 = 2/3` => y = 1
=> x = 2
=> x = 2 and y = 1
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