if [x, y] [ l x y ]=[25] and [-x, y] [ c 2 x y ]=[-2] find x and … - Vidyadip

Question

if $[x, y]\left[\begin{array}{l}x \\ y\end{array}\right]=[25]$ and $[-x, y]\left[\begin{array}{c}2 x \\ y\end{array}\right]=[-2]$ find $x$ and $y$ if $x, y \ \varepsilon \ W ($whole numbers$)$

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Answer

$\left[\begin{array}{ll}x & y\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=25$
$x^2+y^2=25$
and
$-2 x^2+y^2=-2$
$x, y\ \& \ W ($whole number$)$
It can be observed that the above two equations are satified when $x = 3$ and $y= 4$

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