What is gauss

Question

x+y+z=2

2x+y-z=5

x-y+z=-2

 

Answer 1

X+Y+Z = 2

or 2X +2Y +2 Z = 4

2X +y -Z -2X -2Y -2Z = 5 -4 

 

or -Y -3Z = 1   ... Eq A

also 2X +Y -Z  -2X +2Y -2Z = 5+4

 

3Y - 3Z = 9......... Eq B

from A and B

 

4Y = 8 

Y =2 and Z = -1

X + 2 - 1 = 2 

Gives X = 1