Use the Given Transformation to Evaluate the Integral $$\begin{aligned}u = & - 2 x + y , v = 6 x + y \\& \iint _ { R } ( 6 x + y ) d x d y\end{aligned}$$

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{aligned}u = & - 2 x + y , v = 6 x + y \\& \iint _ { R } ( 6 x + y ) d x d y\end{aligned}$$
where $R$ is the parallelogram bounded by the lines $y = 2 x + 2 , y = 2 x + 10 , y = - 6 x + 2 , y = - 6 x + 9$

A) 77
B) 4928
C) $\frac { 77 } { 2 }$
D) 2464