Find the value of $x + y$ , if $15 x + 17 y = 85$ and $17 x + 15 y = 75$ .

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Solution

$15 x + 17 y = 85$ ………. $(1)$

$17 x + 15 y = 75$ ………. $(2)$

Add both equations

$32 x + 32 y = 160$

$32 (x + y) = 160$

$x + y = 5$ .

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12 x + 17 y = 53 and 17 x + 12 y = 63

If $12 x + 17 y = 53$ and $17 x + 12 y = 63$ then find the value of (x+y).

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