Solve this problem by hand showing all the steps, solve this problem by calculator if you can, then put this into a matrix and solve using a C++ program. The steps in the program must take any system of equations up to a 10 by 10.

2a 9b -c 3d = 81

a 2b 2c -6e = -23

5a 7b 2c -d 3e = 100

8a -b -4c -2d 9e = 71

3a 3b 8c d 9e = 178