Please write in python and also the paper, thank you

Problem 4. [5 x 9 = 45 points) Solve the following set of equations using numpy's linear algebra capabilities. 7x + 5y = 16 + 3z -5y + 2z + 8 = -3x 3y - 72 = -5x a) First, on paper or using a text editor, put the equation in the form Ax = b. b) Next, create arrays in Python for the A and b matrices. c) Use numpy's solve () function to solve for the x matrix. Record the results on paper or the text editor. d) Finally, verify the solution by performing the matrix product Ax to show that it is indeed b. e) Just for fun, calculate A-1, the inverse of A. Show that the product A-lb gives the same result for x. Record the result on paper or the text editor. a - Correctly setting up matrices A b and x = 3 x 3 = 9 points (Partial credit for incorrect entries) b - Correctly setting up matrices A and b in python = 2 x 4.5 = 9 points (Partial credit for incor entries) C- Correctly using numpy and solve function to get x = 9 points (Partial credit for incorrect answer) d - Perform matrix multiplication Ax using python to show it is b (9 points) e - Compute inverse of A = 4 points Compute A-lb and show it is x = 4 points Record solution on paper/word = 1 point