PLEASE SOLVE THIS ALGEBRAICALLY, STEP BY STEP

Kindly help me solve this problem using as much detail as possible, so I can learn!! PLEASE DO NOT USE SOLVER.

Maximize: Z = 3X1 + X2 subject to, (-3X1 + 2x2 >=6) (5x1 + 3x2 = 0 1. Transform the above model into STANDARD FORM and indicate the value of the surplus or slack variables at each corner point solution 2. Represent the problem GRAPHICALLY, clearly labeling constraint boundaries, and feasibility region with arrows 3. Find the COORDINATES of the feasible extreme points 4. Solve for the optimal solution, and find values of all the surplus or slack variables related to the major constraints at point of optimality 5. Solve the same of Minimizing: Z = 2x1 3x2, and find the new optimal values and all surplus and slack variables