If $2 x - 9 y = 11$ and $x + 12 y = - 8$ , compute the value of $x + y$ .

- \frac{29}{11}

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- \frac{9}{11}

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1

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\frac{20}{11}

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\frac{29}{11}

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Solution

The correct option is C $1$
Given equations are
$2 x - 9 y = 11$ .....(1)
and $x + 12 y = - 8$ .....(2)
Adding both the equations, we get
$2 x + x + 12 y - 9 y = - 8 + 11$
$\Rightarrow 3 x + 3 y = 3 \Rightarrow x + y = 1$
Hence, option C is correct.

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