Find the values of $(x + y)$ and $(x - y)$ without actually solving for $x$ and $y$ . $9 x + 11 y = 78; 11 x + 9 y = 82$

x + y = 2, x - y = 2

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x + y = 8, x - y = 2

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x + y = 7, x - y = 2

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x + y = 3, x - y = 2

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Solution

The correct option is B $x + y = 8, x - y = 2$
$9 x + 11 y = 78$ ...(i)

$11 x + 9 y = 82$ ...(ii)
On adding (i) and (ii) , we get
$20 x + 20 y = 160$
$\Rightarrow x + y = 8$
On subtracting (i) from (ii) , we get
$2 x - 2 y = 4$
$\Rightarrow x - y = 2$

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Find the values of (x+y) and (x−y)without actually solving for x and y.9x+11y=78;11x+9y=82

The correct option is B x+y=8,x−y=29x+11y=78 ...(i)11x+9y=82 ...(ii)On adding (i) and (ii) , we get20x+20y=160⇒x+y=8On subtracting (i) from (ii) , we get2x−2y=4⇒x−y=2

Find the values of $(x + y)$ and $(x - y)$ without actually solving for $x$ and $y$ . $9 x + 11 y = 78; 11 x + 9 y = 82$

The correct option is B $x + y = 8, x - y = 2$
$9 x + 11 y = 78$ ...(i)

$11 x + 9 y = 82$ ...(ii)
On adding (i) and (ii) , we get
$20 x + 20 y = 160$
$\Rightarrow x + y = 8$
On subtracting (i) from (ii) , we get
$2 x - 2 y = 4$
$\Rightarrow x - y = 2$