Question

Solve the system

Answer 1

Answer:

x = $\frac{2u+v}{7}$

y =  $\frac{2v - 3u }{7}$

Jacobian value = 1/7

Step-by-step explanation:

Given data:

u = 2x -y

v = 3x + 2y

solving the system for  x and  y in terms of u and v

x = $\frac{2u+v}{7}$

y =  $\frac{2v - 3u }{7}$

The value of the Jacobian =  1/7 ( solution attached below )

Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below