GAUSS ELIMINATION AND BACK SUBSTITUTION
Solve the following systems or indicate the nonexistence of solutions. (Show the details of your work.)
5x - 2y = 20.9
2.3x + 6.2y = 0.2
-x + 4y = -19.3
2.1x + 8.5y = 4.3
3.05x + 3.5y = 5.7
4y - 2z = 2
-x + 5.0y = 7.8
6x - 2y + z = 29
4x + 8y - 4z = 24
5.08x + 1.2y - 0.6z = -7.8
2.6x + 1.7z = 15.3
4.0x - 7.3y - 1.5z = 1.1
6.14x - 2y - 4z = 0
7y + z = -2
18x - 2y - 6z = 0
4y + 6z = -12
4x + 8y - 14z = 0
x + y + z = 2
8.2x + y - 3z = 8
5x + 2z = 3
8x - y + 7z = 0
9.
4y + 4z = 24
3x - 11y - 2z = -6
6x - 17y + z = 18