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If (x+13,y3-1)=(12,32), find x and y

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Question

If `(x + 1/3, y/3 - 1) = (1/2, 3/2)`, find x and y

Sum
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Solution

Since `(x + 1/3, y/3 - 1) = (1/2, 3/2)`

the corresponding elements are equal.

∴ `x + 1/3 = 1/2` and `y/3 - 1 = 3/2`

∴ `x = 1/2 - 1/3` and `y/3 = 3/2 + 1 = 5/2`

∴ x = `1/6` and y = `15/2`.

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Chapter 5: Sets and Relations - Exercise 5.2 [Page 103]

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