Question

State true or false:

$\sqrt{2}x+\sqrt{3}y=0,\sqrt{3}x-\sqrt{8}y=0$ has no non-zero solution.

• A. True
• B. False

Answer 1

The correct option is B False

Let $\sqrt{2}x+\sqrt{3}y=0......\left(1\right)$
$\sqrt{3}x-\sqrt{8}y=0......\left(2\right)$
$\left(1\right)\times 3+\left(2\right)\times 2$ gives $\sqrt{2}5y=0\Rightarrow y=0$
By substituting the value of $y$ in $\left(1\right)$ we get $x=0$
$\therefore x=0$ and $y=0$
The correct answer is B.