MAT103

Franklin College

Erich Prisner

### Writing Project 10:

# Number of variables versus number of equations

Explain, reasoning with the substitution method, why we usually get only one
single solution if we have a system of 3 linear equations with 3
variables. Clearly describe why this is not the case in the following two
examples:

Example 1: |
Example 2: |

2x + 3y - 5w = 2
3x - 2y + 2w = 3
8x - y - w = 8 |
x + 2y = 2
5x - 4z = -4
2x - y - 2z = 1 |