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| Ordered Pair |
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| An ordered pair has a pair of elements which occur in a definite order. |
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| Take two numbers 3 and 5. If they form a pair (3,5) and the order of the numbers cannot be changed, these numbers are said to form an ordered pair. |
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(3, 5)  (5, 3) |
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If two ordered pairs (a, b) and (x, y) are equal,  (a, b) = (x, y) then a = x, |
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| b = y. |
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| If (3, y) = (x, 4) find x and y. |
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Since the ordered pairs are equal, then the first element of first pair = the first element of the second pair  x = 3, similarly y = 4. |
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| Ans: x = 3, y = 4 |
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| Given (2x + 3, 2y + 4) = (x + 6, 3 + 4y), find x and y. |
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The first elements are equal  ordered pairs are equal. |
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 2x + 3 = x + 6  x = 3 |
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| Similarly, the second elements are equal. |
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 2y + 4 = 3 + 3y  y = 1 |
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| Ans: x = 3 , y = 1 |
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