A Student Was Asked to Find Ordered Pairs That Solve $$\begin{gathered}X+2 y=3 \\2 x+4 y=6\end{gathered}$$

True/False

A student was asked to find ordered pairs that solve the system of equations
$$\begin{gathered}X+2 y=3 \\2 x+4 y=6\end{gathered}$$
The student claims that $(1,1)$ and $(-1,2)$ are the only solutions. Is the student correct?