If $12 x + 13 y = 29$ and $13 x + 12 y = 21$ find $x + y$

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Solution

$12 x + 13 y = 29$ .....(1)
$13 x + 12 y = 21$ ....(2)
Adding (1) and (2)
$25 x + 25 y = 50$
$x + y = 2$

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