Let $T:{\mathbb R}^2 \rightarrow {\mathbb R}^2$ be a linear transformation that sends the vector $\vec{u} =(5,2)$ into $(2,1)$ and maps $\vec{v}= (1,3)$ into $(-1, 3)$. Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.)

$T(-4 \vec{u}) =$ ,

$T(6 \vec{v}) =$ ,

$T(-4 \vec{u} + 6 \vec{v}) =$ .