I need a full solution with an explanation, I'm stuck on it

Question

What is the system of equations represented by the augmented matrix below?

Answer 1

x+y+z=27 is the 1st row of the matrix

2x+3y+5z=98 is the 2nd row

x +(0)y -z=-5 is the 3rd row

x=7, y=8, z=12

7+8+12 = 27

2(7)+3(8)+5(12) = 98

7 +0 -12 = -5

after row operations

solution matrix would be

|1 0 0| 7|

|0 1 0| 8|

|0 0 1|12|