For problem (1) and (2), use Gauss-Jordan reduction to transform the augmented matrix of each system to RREF. Use it to discuss the solutions of the system (i. e., no solutions, a unique solution, or infinitely many solutions).(1)2x+ 3y+z= 2x+ 9y= 12x+y+ 3z= 5

The system has unique solution.

, and  

Step-by-step explanation:

Given system of equation is

2x+3y+z=5

2x+9y+0.z=5

12x+y+3z=5

The augmented matrix is

Subtract row 1 from row 2  ()

subtract row 1 multiplied by 6 from row 3   ()

Divide row 1 by 2     ()

Divide row 2 by 6  

Subtract row 2 multiplied by from row 1

Add row 2 multiplied by 17 to row 3

Multiply row 3 by  

Subtract row 3 multiplied by from row 1

Add row 3 multiplied by to row 2  

, and  

Unique solution: The system has one specific solution.

The system has unique solution.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.