Question

A student is solving a linear system with 2 equations in the 3 variables x, y, and z. The
student forms the augmented matrix and performs row operations until the following matrix
is obtained. 2
66664
1 0
5
3
11
0 1
4
3
16
3
77775
(a) Solve the system.
(b) Find all the solutions in which x, y, and z are nonnegative integers.