If $2 x + 3 y = 0$ and $4 x - 3 y = 0$ , then $x + y$ equals?

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Solution

The correct option is A $0$
Given equations are:
$2 x + 3 y = 0 . . . . . (1)$
$4 x - 3 y = 0 . . . . . (2)$
Now multiply $(1)$ by $(2)$ we get
$4 x + 6 y = 0 . . . . . . (3)$
Now subtracting $(2)$ from $(3)$ , we get
$\Rightarrow 9 y = 0$
$\Rightarrow y = 0$
now substitute the y value in $(3)$
$\Rightarrow 4 x + 6 (0) = 0$
$\Rightarrow 4 x = 0$
$\Rightarrow x = 0$
$\Rightarrow x + y = 0 + 0$
$\Rightarrow x + y = 0$

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