Answer
Cramer's rule does not apply.
Work Step by Step
Cramer's rule
$\left\{\begin{array}{l}{a x+b y=s}\\{cx+dy=t}\end{array}\right.$
$D=\left|\begin{array}{ll}{a}&{b}\\{c}&{d}\end{array}\right|,D_{x}=\left|\begin{array}{ll}{s}&{b}\\{t}&{d}\end{array}\right|,D_{y}=\left|\begin{array}{ll}{a}&{s}\\{c}&{t}\end{array}\right|,$
If $D\displaystyle \neq 0,\qquad x=\frac{D_{x}}{D}\quad y=\frac{D_{y}}{D}$
---
$\left\{\begin{array}{l}{3 x-2 y=4}\\{6x-4y=0}\end{array}\right.\Rightarrow\left[\begin{array}{ll}
a & b\\
c & d
\end{array}\right]=\left[\begin{array}{ll}
3 & -2\\
6 & 4
\end{array}\right],\quad \left[\begin{array}{l}
s\\
t
\end{array}\right]=\left[\begin{array}{l}
4\\
0
\end{array}\right]$
$\begin{array}{lllll}
D=\left|\begin{array}{ll}
3 & -2\\
6 & 4
\end{array}\right| & & D_{x}=... & & D_{y}=...\\
=12-12 & & & & \\
=0 & & & & \\
& & & &
\end{array}$
Since D=0, the rule does not apply.
