[tex]\left\{\begin{array}{ccc}2x+y=6&|-2x\\3x+5y=9\end{array}\right\\\left\{\begin{array}{ccc}y=6-2x\\3x+5y=9\end{array}\right\\\\substitute\ to\ second\ equation\\\\3x+5(6-2x)=9\\3x+30-10x=9\\-7x+30=9\ \ \ \ |-30\\-7x=-21\ \ \ \ |:(-7)\\x=3\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-2\cdot3\\y=6-6\\y=0\\\\\boxed{ \left\{\begin{array}{ccc}x=3\\y=0\end{array}\right}[/tex]
