Gọi $M(x;y)$
$ \overrightarrow {CA} = \left( {2; - 1} \right)\\ 2\overrightarrow {AB} = \left( {2;2} \right)\\ \overrightarrow{BM} = \left( {x - 2;y - 5} \right) $
$2\overrightarrow {AB} + \overrightarrow {BM} = \left( {x;y - 3} \right)$
Theo đề ta được:
$\left\{ \begin{array}{l} x = 2\\ y - 3 = - 1 \end{array} \right. \Rightarrow \left\{ \begin{array}{l} x = 2\\ y = 2 \end{array} \right.$
Vậy $M(2;2)$