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\documentclass[11pt]{exam}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage[margin=1in]{geometry}
\begin{document}
\begin{questions}
\question[10] Some equations to solve :
\medskip
\begin{parts}
\part
\setlength{\abovedisplayskip}{0pt}
\begin{flalign*}
5 x + 2 y &= 3 y, & \\
(x + y) + 2 x &= 4 x + y.
\end{flalign*}
\vfill
\part
\begin{flalign*}
x + 2 y &= 3 y, & \\
2 x + y &= 2.
\end{flalign*}
\vfill
\part
\begin{flalign*}
x + y &= 5, & \\
y &= 1.
\end{flalign*}
\vfill
\end{parts}
\end{questions}
\end{document}