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Question

If ordered pair (a + 2b, 9) = (7, 3a + 2b), then the values of a and b are


A

7, 9

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B

3, 1

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C

9, 7

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D

1, 3

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Solution

The correct option is D

1, 3


Two ordered pairs are equal, if and only if the corresponding first elements are equal and the second elements are also equal.

Hence, a + 2b = 7 and 3a + 2b = 9.

Solving the linear equations, we get

a = 1 and b = 3


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