ı have some problems in writenig mathematical language so ı need some help actually ı need the answer but ı want to learn writng my teacher always talking about my writing so please help me,

Let$\displaystyle G$ is a group,$\displaystyle {x},{y}\in{G}$

if$\displaystyle xy^2=yx^3$and$\displaystyle x^3y=yx^2$then

$\displaystyle x=y=e$