Use the given transformation to evaluate the integral.

$u=-2x+y,v=5x+y$

where R is the parallelogram bounded by the lines $y=2x+2,y=2x+6,y=-5x+8,$ and $y=-5x+10$ having vertices $(\frac{6}{7},\frac{26}{7}),(\frac{8}{7},\frac{30}{7}),(\frac{2}{7},\frac{46}{7}),(\frac{4}{7},\frac{50}{7}).$

You may use the formula:

${}_{R}f(x,y)dA={}_{S}f(g(u,v),h(u,v))|J(u,v)|dA$