\(\displaystyle{x}={\frac{{{D}{x}}}{{{D}}}},{y}={\frac{{{D}{y}}}{{{D}}}},{z}={\frac{{{D}{z}}}{{{D}}}}\)

\(D=|2\ 3\ 4|\)

\(|-4\ \ \ 2\ -6| = -56\)

\(|4\ 6\ 3|\)

\(\frac{Dx=|3\ 3\ 4|}{Dy=|2\ 3\ 4|}\)

\(\frac{|2\ 2\ -6|}{|-4\ 2\ -6|}\)

\(\frac{|0\ 0\ 3|=0}{|4\ 0\ 3|=-56}\)

\(Dz=|2\ 3\ 3|\)

\(|-4\ 2\ 2| = 0\)

\(|4\ 0\ 0|\)

Putting values \(\displaystyle\rightarrow{x}={\frac{{{0}}}{{-{56}}}}={0}\)

\(\displaystyle{y}={\frac{{-{56}}}{{-{56}}}}={1},{z}={\frac{{{0}}}{{-{56}}}}={0}\)

\(\rightarrow Solution\ set \) \(\{0,1,0\}\)