Frequently, we encounter a need for two $($different$)$ linear transformations to transform a parallelogram into a rectangular region. When this happens, we need to make choices like: $u=-7x+3y$ and $v=-5x+4y.$

For this example, find the inverse transformations:

$x=$

$y=$

and use these to calculate the Jacobian:

$\frac{\text{d}\text{e}\text{l}(x,y)}{\text{d}\text{e}\text{l}(u,v)}=$

$$