In this question, I know that I need to calculate inverse transformation (x,y)" The book says: x= 4/3u-5/3v and y= 1/3u-2/3vMy question is: how do you calculate to come out these numbers in x and y ( like 4/3, 5/3, 1/3, 2/3)? Can you show me step-by-step? Thank you!

Example 8.10. Let X and Y be independent univariate N(0, 1) random variables. If U :=2X -5Y and V :=X -4Y, find the joint density of U and V. Are U and V independent? Solution. The transformation [u, v]' = G(x, y) is given by u= 2x - 5y v = x- 4y