[tex]\Huge\boxed{\textsf{A. Exactly one solution}}[/tex]
We have the following system:
[tex]\begin{cases}4x-2y&=8\\2x+y&=2\end{cases}[/tex]
Here, a simple solution to find the answer is to graph the two lines and see how many times they intersect.
I've attached a graph, with [tex]4x-2y=8[/tex] in red and the other equation in blue.
See that the lines only intersect once, at [tex](1.5,-1)[/tex]. This means the system only has one solution.
