Given that
$| x + 9 | = 6$
$| y - 7 | = 7$
Calculate a possible value of $x + y$

- 14

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- 15

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1

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14

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Solution

The correct option is A $- 15$
$| x + 9 | = 6$
$∴ x + 9 = 6$ or $x + 9 = - 6$
$∴ x = 3$ or $x = - 15$
Similarly, $| y - 7 | = 7$
$∴ y - 7 = 7$ or $y - 7 = - 7$
$∴ y = 14$ or $y = 0$
$∴ x + y$ can be $- 15, 3, 17$ or $- 1$

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