Answer:
A
Step-by-step explanation:
The system of two equations
[tex]\left\{\begin{array}{l}a_1x+b_1y=c_1\\ \\a_2x+b_2y=c_2\end{array}\right.[/tex]
has no solutions, when
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]
In option A,
[tex]a_1=1,\ b_1=-2,\ c_1=2\\ \\a_2=1,\ b_2=-2,\ c_2=4[/tex]
and
[tex]\dfrac{1}{1}=\dfrac{-2}{-2}\neq \dfrac{2}{4}[/tex]
so this system has no solutions.
